101202020112120 has 128 divisors (see below), whose sum is σ = 311947645055040. Its totient is φ = 26246367498240.

The previous prime is 101202020112041. The next prime is 101202020112161. The reversal of 101202020112120 is 21211020202101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101202020112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5210740 + ... + 15151100.

Almost surely, 2^{101202020112120} is an apocalyptic number.

101202020112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202020112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155973822527520).

101202020112120 is an abundant number, since it is smaller than the sum of its proper divisors (210745624942920).

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

101202020112120 is a wasteful number, since it uses less digits than its factorization.

101202020112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9942705 (or 9942701 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101202020112120 its reverse (21211020202101), we get a palindrome (122413040314221).

The spelling of 101202020112120 in words is "one hundred one trillion, two hundred two billion, twenty million, one hundred twelve thousand, one hundred twenty".