201023222100120 has 192 divisors, whose sum is σ = 766837619795520. Its totient is φ = 44706322732032.

The previous prime is 201023222100097. The next prime is 201023222100139. The reversal of 201023222100120 is 21001222320102.

201023222100120 is a `hidden beast` number, since 2 + 0 + 10 + 2 + 322 + 210 + 0 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201023222100093 and 201023222100102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077894867 + ... + 1078081346.

It is an arithmetic number, because the mean of its divisors is an integer number (3993945936435).

Almost surely, 2^{201023222100120} is an apocalyptic number.

201023222100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201023222100120 is an abundant number, since it is smaller than the sum of its proper divisors (565814397695400).

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

201023222100120 is a wasteful number, since it uses less digits than its factorization.

201023222100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155976274 (or 2155976267 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 201023222100120 its reverse (21001222320102), we get a palindrome (222024444420222).

The spelling of 201023222100120 in words is "two hundred one trillion, twenty-three billion, two hundred twenty-two million, one hundred thousand, one hundred twenty".