200121132100 has 72 divisors (see below), whose sum is σ = 460045117728. Its totient is φ = 75300825600.

The previous prime is 200121132089. The next prime is 200121132137. The reversal of 200121132100 is 1231121002.

It is a super-3 number, since 3×200121132100³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3375715 + ... + 3434485.

It is an arithmetic number, because the mean of its divisors is an integer number (6389515524).

Almost surely, 2^200121132100 is an apocalyptic number.

200121132100 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 200121132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230022558864).

200121132100 is an abundant number, since it is smaller than the sum of its proper divisors (259923985628).

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

200121132100 is a wasteful number, since it uses less digits than its factorization.

200121132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60805 (or 60798 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 200121132100 its reverse (1231121002), we get a palindrome (201352253102).

The spelling of 200121132100 in words is "two hundred billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred".