221002000122100 has 36 divisors (see below), whose sum is σ = 496111386487500. Its totient is φ = 85352496597760.

The previous prime is 221002000122091. The next prime is 221002000122157. The reversal of 221002000122100 is 1221000200122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4900122358884 + 216101877763216 = 2213622^2 + 14700404^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38103790225 + ... + 38103796024.

It is an arithmetic number, because the mean of its divisors is an integer number (13780871846875).

Almost surely, 2^{221002000122100} is an apocalyptic number.

221002000122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221002000122100 is an abundant number, since it is smaller than the sum of its proper divisors (275109386365400).

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

221002000122100 is a wasteful number, since it uses less digits than its factorization.

221002000122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76207586292 (or 76207586285 counting only the distinct ones).

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

Adding to 221002000122100 its reverse (1221000200122), we get a palindrome (222223000322222).

The spelling of 221002000122100 in words is "two hundred twenty-one trillion, two billion, one hundred twenty-two thousand, one hundred".