1000101001000 has 64 divisors (see below), whose sum is σ = 2340931207680. Its totient is φ = 399921620800.

The previous prime is 1000101000973. The next prime is 1000101001007. The reversal of 1000101001000 is 1001010001.

1000101001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1000101001007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3260229 + ... + 3553771.

It is an arithmetic number, because the mean of its divisors is an integer number (36577050120).

Almost surely, 2^{1000101001000} is an apocalyptic number.

1000101001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000101001000 is an abundant number, since it is smaller than the sum of its proper divisors (1340830206680).

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

1000101001000 is a wasteful number, since it uses less digits than its factorization.

1000101001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296971 (or 296957 counting only the distinct ones).

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

Adding to 1000101001000 its reverse (1001010001), we get a palindrome (1001102011001).

Subtracting from 1000101001000 its reverse (1001010001), we obtain a palindrome (999099990999).

The spelling of 1000101001000 in words is "one trillion, one hundred one million, one thousand".