202101122160 has 240 divisors, whose sum is σ = 790319934144. Its totient is φ = 45322887168.

The previous prime is 202101122141. The next prime is 202101122161. The reversal of 202101122160 is 61221101202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101122161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111177 + ... + 645416.

Almost surely, 2^202101122160 is an apocalyptic number.

202101122160 is a gapful number since it is divisible by the number (20) 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 202101122160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395159967072).

202101122160 is an abundant number, since it is smaller than the sum of its proper divisors (588218811984).

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

202101122160 is a wasteful number, since it uses less digits than its factorization.

202101122160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756672 (or 756663 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 202101122160 its reverse (61221101202), we get a palindrome (263322223362).

The spelling of 202101122160 in words is "two hundred two billion, one hundred one million, one hundred twenty-two thousand, one hundred sixty".