101202002112 has 28 divisors (see below), whose sum is σ = 267763631096. Its totient is φ = 33734000640.

The previous prime is 101202002093. The next prime is 101202002117. The reversal of 101202002112 is 211200202101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101202002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263546689 + ... + 263547072.

Almost surely, 2^101202002112 is an apocalyptic number.

101202002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202002112 is an abundant number, since it is smaller than the sum of its proper divisors (166561628984).

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

101202002112 is an equidigital number, since it uses as much as digits as its factorization.

101202002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527093776 (or 527093766 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101202002112 its reverse (211200202101), we get a palindrome (312402204213).

The spelling of 101202002112 in words is "one hundred one billion, two hundred two million, two thousand, one hundred twelve".