101210120102112 has 96 divisors (see below), whose sum is σ = 304331586031872. Its totient is φ = 28850393769984.

The previous prime is 101210120102099. The next prime is 101210120102159. The reversal of 101210120102112 is 211201021012101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×101210120102112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101210120102091 and 101210120102100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173623918 + ... + 174205869.

It is an arithmetic number, because the mean of its divisors is an integer number (3170120687832).

Almost surely, 2^{101210120102112} is an apocalyptic number.

101210120102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101210120102112 is an abundant number, since it is smaller than the sum of its proper divisors (203121465929760).

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

101210120102112 is a wasteful number, since it uses less digits than its factorization.

101210120102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347830240 (or 347830232 counting only the distinct ones).

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

Adding to 101210120102112 its reverse (211201021012101), we get a palindrome (312411141114213).

The spelling of 101210120102112 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty million, one hundred two thousand, one hundred twelve".