1000101010000 has 100 divisors (see below), whose sum is σ = 2448552852900. Its totient is φ = 395545216000.

The previous prime is 1000101009983. The next prime is 1000101010021. The reversal of 1000101010000 is 101010001.

It can be written as a sum of positive squares in 10 ways, for example, as 718195231296 + 281905778704 = 847464^2 + 530948^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 328146 + ... + 1451854.

It is an arithmetic number, because the mean of its divisors is an integer number (24485528529).

Almost surely, 2^{1000101010000} is an apocalyptic number.

1000101010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224276426450).

1000101010000 is an abundant number, since it is smaller than the sum of its proper divisors (1448451842900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000101010000 is an equidigital number, since it uses as much as digits as its factorization.

1000101010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123826 (or 1123805 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 1000101010000 its reverse (101010001), we get a palindrome (1000202020001).

Subtracting from 1000101010000 its reverse (101010001), we obtain a palindrome (999999999999).

The spelling of 1000101010000 in words is "one trillion, one hundred one million, ten thousand".