101002100010112 has 64 divisors (see below), whose sum is σ = 229962258288000. Its totient is φ = 43286215256064.

The previous prime is 101002100010101. The next prime is 101002100010151. The reversal of 101002100010112 is 211010001200101.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109793853 + ... + 110709955.

It is an arithmetic number, because the mean of its divisors is an integer number (3593160285750).

Almost surely, 2^{101002100010112} is an apocalyptic number.

It is an amenable number.

101002100010112 is an abundant number, since it is smaller than the sum of its proper divisors (128960158277888).

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

101002100010112 is an equidigital number, since it uses as much as digits as its factorization.

101002100010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039173 (or 1039161 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101002100010112 its reverse (211010001200101), we get a palindrome (312012101210213).

The spelling of 101002100010112 in words is "one hundred one trillion, two billion, one hundred million, ten thousand, one hundred twelve".