101010000101010 has 1152 divisors, whose sum is σ = 360142074547200. Its totient is φ = 17858416343040.

The previous prime is 101010000100981. The next prime is 101010000101041. The reversal of 101010000101010 is 10101000010101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 101010000101010.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1921082901 + ... + 1921135479.

It is an arithmetic number, because the mean of its divisors is an integer number (312623328600).

Almost surely, 2^{101010000101010} is an apocalyptic number.

101010000101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101010000101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180071037273600).

101010000101010 is an abundant number, since it is smaller than the sum of its proper divisors (259132074446190).

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

101010000101010 is a wasteful number, since it uses less digits than its factorization.

101010000101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52696 (or 52676 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101010000101010 its reverse (10101000010101), we get a palindrome (111111000111111).

Subtracting from 101010000101010 its reverse (10101000010101), we obtain a palindrome (90909000090909).

The spelling of 101010000101010 in words is "one hundred one trillion, ten billion, one hundred one thousand, ten".