222002153332100 has 72 divisors (see below), whose sum is σ = 486805959481800. Its totient is φ = 87868958976000.

The previous prime is 222002153332049. The next prime is 222002153332111. The reversal of 222002153332100 is 1233351200222.

It can be written as a sum of positive squares in 12 ways, for example, as 27553407749956 + 194448745582144 = 5249134^2 + 13944488^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 222002153332100.

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, 10271996 + ... + 23441804.

Almost surely, 2^{222002153332100} is an apocalyptic number.

222002153332100 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 222002153332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243402979740900).

222002153332100 is an abundant number, since it is smaller than the sum of its proper divisors (264803806149700).

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

222002153332100 is a wasteful number, since it uses less digits than its factorization.

222002153332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13171593 (or 13171586 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 222002153332100 in words is "two hundred twenty-two trillion, two billion, one hundred fifty-three million, three hundred thirty-two thousand, one hundred".