200102122120 has 128 divisors (see below), whose sum is σ = 465023255040. Its totient is φ = 77453107200.

The previous prime is 200102122117. The next prime is 200102122183. The reversal of 200102122120 is 21221201002.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 200102122120.

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, 111105220 + ... + 111107020.

It is an arithmetic number, because the mean of its divisors is an integer number (3632994180).

Almost surely, 2^200102122120 is an apocalyptic number.

200102122120 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 200102122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232511627520).

200102122120 is an abundant number, since it is smaller than the sum of its proper divisors (264921132920).

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

200102122120 is a wasteful number, since it uses less digits than its factorization.

200102122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200102122120 its reverse (21221201002), we get a palindrome (221323323122).

The spelling of 200102122120 in words is "two hundred billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".