101202011210112 has 128 divisors (see below), whose sum is σ = 276801193559520. Its totient is φ = 32740697702400.

The previous prime is 101202011210089. The next prime is 101202011210159. The reversal of 101202011210112 is 211012110202101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101202011210112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101202011210091 and 101202011210100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13614189 + ... + 19691372.

Almost surely, 2^{101202011210112} is an apocalyptic number.

101202011210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101202011210112 is an abundant number, since it is smaller than the sum of its proper divisors (175599182349408).

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

101202011210112 is a wasteful number, since it uses less digits than its factorization.

101202011210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33305812 (or 33305800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101202011210112 its reverse (211012110202101), we get a palindrome (312214121412213).

The spelling of 101202011210112 in words is "one hundred one trillion, two hundred two billion, eleven million, two hundred ten thousand, one hundred twelve".