202000212000100 has 72 divisors (see below), whose sum is σ = 439466276186280. Its totient is φ = 80592609745920.

The previous prime is 202000212000071. The next prime is 202000212000203. The reversal of 202000212000100 is 1000212000202.

It can be written as a sum of positive squares in 12 ways, for example, as 65184567100416 + 136815644899684 = 8073696^2 + 11696822^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 336593502 + ... + 337193098.

It is an arithmetic number, because the mean of its divisors is an integer number (6103698280365).

Almost surely, 2^{202000212000100} is an apocalyptic number.

202000212000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000212000100 is an abundant number, since it is smaller than the sum of its proper divisors (237466064186180).

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

202000212000100 is a wasteful number, since it uses less digits than its factorization.

202000212000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608257 (or 608250 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202000212000100 its reverse (1000212000202), we get a palindrome (203000424000302).

The spelling of 202000212000100 in words is "two hundred two trillion, two hundred twelve million, one hundred", and thus it is an aban number.