100209121000 has 32 divisors (see below), whose sum is σ = 234489345480. Its totient is φ = 40083648000.

The previous prime is 100209120989. The next prime is 100209121027. The reversal of 100209121000 is 121902001.

It can be written as a sum of positive squares in 4 ways, for example, as 13373997316 + 86835123684 = 115646^2 + 294678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50103561 + ... + 50105560.

Almost surely, 2^100209121000 is an apocalyptic number.

100209121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100209121000 is an abundant number, since it is smaller than the sum of its proper divisors (134280224480).

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

100209121000 is a wasteful number, since it uses less digits than its factorization.

100209121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100209142 (or 100209128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The spelling of 100209121000 in words is "one hundred billion, two hundred nine million, one hundred twenty-one thousand".