102221002100 has 108 divisors (see below), whose sum is σ = 261570656844. Its totient is φ = 34566981120.

The previous prime is 102221002061. The next prime is 102221002123. The reversal of 102221002100 is 1200122201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 19264329616 + 82956672484 = 138796^2 + 288022^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214814 + ... + 500586.

Almost surely, 2^102221002100 is an apocalyptic number.

102221002100 is a gapful number since it is divisible by the number (10) 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 102221002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130785328422).

102221002100 is an abundant number, since it is smaller than the sum of its proper divisors (159349654744).

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

102221002100 is a wasteful number, since it uses less digits than its factorization.

102221002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285874 (or 285860 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102221002100 its reverse (1200122201), we get a palindrome (103421124301).

The spelling of 102221002100 in words is "one hundred two billion, two hundred twenty-one million, two thousand, one hundred".