202100001001120 has 96 divisors (see below), whose sum is σ = 486181833596928. Its totient is φ = 79376624345088.

The previous prime is 202100001001099. The next prime is 202100001001159. The reversal of 202100001001120 is 21100100001202.

202100001001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×202100001001120⁴ (a number of 58 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 202100001001097 and 202100001001106.

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, 49296312 + ... + 53238391.

It is an arithmetic number, because the mean of its divisors is an integer number (5064394099968).

Almost surely, 2^{202100001001120} is an apocalyptic number.

202100001001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202100001001120 is an abundant number, since it is smaller than the sum of its proper divisors (284081832595808).

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

202100001001120 is a wasteful number, since it uses less digits than its factorization.

202100001001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102534942 (or 102534934 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 202100001001120 its reverse (21100100001202), we get a palindrome (223200101002322).

The spelling of 202100001001120 in words is "two hundred two trillion, one hundred billion, one million, one thousand, one hundred twenty".