209009225098100 has 72 divisors (see below), whose sum is σ = 518831421913728. Its totient is φ = 71592765148800.

The previous prime is 209009225098099. The next prime is 209009225098127. The reversal of 209009225098100 is 1890522900902.

It is a super-2 number, since 2×209009225098100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 139966352 + ... + 141451751.

It is an arithmetic number, because the mean of its divisors is an integer number (7205991971024).

Almost surely, 2^{209009225098100} is an apocalyptic number.

209009225098100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209009225098100 is an abundant number, since it is smaller than the sum of its proper divisors (309822196815628).

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

209009225098100 is a wasteful number, since it uses less digits than its factorization.

209009225098100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281419185 (or 281419178 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The spelling of 209009225098100 in words is "two hundred nine trillion, nine billion, two hundred twenty-five million, ninety-eight thousand, one hundred".