101210111210120 has 32 divisors (see below), whose sum is σ = 248424818425920. Its totient is φ = 36803676803520.

The previous prime is 101210111210017. The next prime is 101210111210123. The reversal of 101210111210120 is 21012111012101.

It is a super-2 number, since 2×101210111210120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101210111210095 and 101210111210104.

It is not an unprimeable number, because it can be changed into a prime (101210111210123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115011489572 + ... + 115011490451.

It is an arithmetic number, because the mean of its divisors is an integer number (7763275575810).

Almost surely, 2^{101210111210120} is an apocalyptic number.

101210111210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210111210120 is an abundant number, since it is smaller than the sum of its proper divisors (147214707215800).

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

101210111210120 is a wasteful number, since it uses less digits than its factorization.

101210111210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230022980045 (or 230022980041 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101210111210120 its reverse (21012111012101), we get a palindrome (122222222222221).

It can be divided in two parts, 1012101 and 11210120, that added together give a palindrome (12222221).

The spelling of 101210111210120 in words is "one hundred one trillion, two hundred ten billion, one hundred eleven million, two hundred ten thousand, one hundred twenty".