101010002112110 has 96 divisors (see below), whose sum is σ = 228087812831040. Its totient is φ = 31530082581504.

The previous prime is 101010002112101. The next prime is 101010002112133. The reversal of 101010002112110 is 11211200010101.

It is a super-2 number, since 2×101010002112110² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101010002112091 and 101010002112100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57619025 + ... + 59346204.

It is an arithmetic number, because the mean of its divisors is an integer number (2375914716990).

Almost surely, 2^{101010002112110} is an apocalyptic number.

101010002112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101010002112110 is an abundant number, since it is smaller than the sum of its proper divisors (127077810718930).

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

101010002112110 is a wasteful number, since it uses less digits than its factorization.

101010002112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116965342 (or 116965329 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101010002112110 its reverse (11211200010101), we get a palindrome (112221202122211).

The spelling of 101010002112110 in words is "one hundred one trillion, ten billion, two million, one hundred twelve thousand, one hundred ten".