200121012022100 has 144 divisors (see below), whose sum is σ = 468217106937216. Its totient is φ = 73804035648000.

The previous prime is 200121012022097. The next prime is 200121012022177. The reversal of 200121012022100 is 1220210121002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3981610970 + ... + 3981661230.

It is an arithmetic number, because the mean of its divisors is an integer number (3251507687064).

Almost surely, 2^{200121012022100} is an apocalyptic number.

200121012022100 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 200121012022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234108553468608).

200121012022100 is an abundant number, since it is smaller than the sum of its proper divisors (268096094915116).

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

200121012022100 is a wasteful number, since it uses less digits than its factorization.

200121012022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53826 (or 53819 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200121012022100 its reverse (1220210121002), we get a palindrome (201341222143102).

The spelling of 200121012022100 in words is "two hundred trillion, one hundred twenty-one billion, twelve million, twenty-two thousand, one hundred".