221002100122000 has 40 divisors (see below), whose sum is σ = 534383078099832. Its totient is φ = 88400840048000.

The previous prime is 221002100121937. The next prime is 221002100122019. The reversal of 221002100122000 is 221001200122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65219450132736 + 155782649989264 = 8075856^2 + 12481292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 55250523031 + ... + 55250527030.

Almost surely, 2^{221002100122000} is an apocalyptic number.

221002100122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002100122000 is an abundant number, since it is smaller than the sum of its proper divisors (313380977977832).

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

221002100122000 is a wasteful number, since it uses less digits than its factorization.

221002100122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110501050084 (or 110501050068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221002100122000 its reverse (221001200122), we get a palindrome (221223101322122).

The spelling of 221002100122000 in words is "two hundred twenty-one trillion, two billion, one hundred million, one hundred twenty-two thousand".