101000010000010 has 128 divisors (see below), whose sum is σ = 206794066618368. Its totient is φ = 35183447040000.

The previous prime is 101000009999897. The next prime is 101000010000073. The reversal of 101000010000010 is 10000010000101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1857375942 + ... + 1857430318.

It is an arithmetic number, because the mean of its divisors is an integer number (1615578645456).

Almost surely, 2^{101000010000010} is an apocalyptic number.

101000010000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000010000010 is an abundant number, since it is smaller than the sum of its proper divisors (105794056618358).

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

101000010000010 is a wasteful number, since it uses less digits than its factorization.

101000010000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59920.

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

Adding to 101000010000010 its reverse (10000010000101), we get a palindrome (111000020000111).

Subtracting from 101000010000010 its reverse (10000010000101), we obtain a palindrome (90999999999909).

The spelling of 101000010000010 in words is "one hundred one trillion, ten million, ten", and thus it is an aban number.