202001211122120 has 128 divisors (see below), whose sum is σ = 457001056512000. Its totient is φ = 80357789276160.

The previous prime is 202001211122083. The next prime is 202001211122231. The reversal of 202001211122120 is 21221112100202.

202001211122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 11755867049 + ... + 11755884231.

It is an arithmetic number, because the mean of its divisors is an integer number (3570320754000).

Almost surely, 2^{202001211122120} is an apocalyptic number.

202001211122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001211122120 is an abundant number, since it is smaller than the sum of its proper divisors (254999845389880).

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

202001211122120 is a wasteful number, since it uses less digits than its factorization.

202001211122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19743 (or 19739 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202001211122120 its reverse (21221112100202), we get a palindrome (223222323222322).

The spelling of 202001211122120 in words is "two hundred two trillion, one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty".