101210110102120 has 64 divisors (see below), whose sum is σ = 241133925142800. Its totient is φ = 38100145274880.

The previous prime is 101210110102043. The next prime is 101210110102139. The reversal of 101210110102120 is 21201011012101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82852192973124 + 18357917128996 = 9102318^2 + 4284614^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101210110102120.

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, 5600796 + ... + 15290164.

Almost surely, 2^{101210110102120} is an apocalyptic number.

101210110102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210110102120 is an abundant number, since it is smaller than the sum of its proper divisors (139923815040680).

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

101210110102120 is a wasteful number, since it uses less digits than its factorization.

101210110102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9704758 (or 9704754 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101210110102120 its reverse (21201011012101), we get a palindrome (122411121114221).

The spelling of 101210110102120 in words is "one hundred one trillion, two hundred ten billion, one hundred ten million, one hundred two thousand, one hundred twenty".