202112200101120 has 144 divisors (see below), whose sum is σ = 646573468867200. Its totient is φ = 53806608474112.

The previous prime is 202112200101029. The next prime is 202112200101127. The reversal of 202112200101120 is 21101002211202.

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 202112200101120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202112200101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41634219 + ... + 46234538.

It is an arithmetic number, because the mean of its divisors is an integer number (4490093533800).

Almost surely, 2^{202112200101120} is an apocalyptic number.

202112200101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112200101120 is an abundant number, since it is smaller than the sum of its proper divisors (444461268766080).

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

202112200101120 is an equidigital number, since it uses as much as digits as its factorization.

202112200101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87869380 (or 87869366 counting only the distinct ones).

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

Adding to 202112200101120 its reverse (21101002211202), we get a palindrome (223213202312322).

The spelling of 202112200101120 in words is "two hundred two trillion, one hundred twelve billion, two hundred million, one hundred one thousand, one hundred twenty".