101202112000120 has 32 divisors (see below), whose sum is σ = 227706568485120. Its totient is φ = 40480521869440.

The previous prime is 101202112000117. The next prime is 101202112000123. The reversal of 101202112000120 is 21000211202101.

It is an interprime number because it is at equal distance from previous prime (101202112000117) and next prime (101202112000123).

It is a self number, because there is not a number n which added to its sum of digits gives 101202112000120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202112000123) 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, 4982791 + ... + 15074230.

It is an arithmetic number, because the mean of its divisors is an integer number (7115830265160).

Almost surely, 2^{101202112000120} is an apocalyptic number.

101202112000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202112000120 is an abundant number, since it is smaller than the sum of its proper divisors (126504456485000).

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

101202112000120 is a wasteful number, since it uses less digits than its factorization.

101202112000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20183175 (or 20183171 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101202112000120 its reverse (21000211202101), we get a palindrome (122202323202221).

The spelling of 101202112000120 in words is "one hundred one trillion, two hundred two billion, one hundred twelve million, one hundred twenty", and thus it is an aban number.