101202121112120 has 64 divisors (see below), whose sum is σ = 261687847219200. Its totient is φ = 34504027228800.

The previous prime is 101202121112111. The next prime is 101202121112143. The reversal of 101202121112120 is 21211121202101.

It is a super-2 number, since 2×101202121112120² (a number of 29 digits) contains 22 as substring.

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, 1009548056 + ... + 1009648295.

It is an arithmetic number, because the mean of its divisors is an integer number (4088872612800).

Almost surely, 2^{101202121112120} is an apocalyptic number.

101202121112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202121112120 is an abundant number, since it is smaller than the sum of its proper divisors (160485726107080).

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

101202121112120 is a wasteful number, since it uses less digits than its factorization.

101202121112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019196548 (or 2019196544 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101202121112120 its reverse (21211121202101), we get a palindrome (122413242314221).

The spelling of 101202121112120 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".