10102002222100 has 72 divisors (see below), whose sum is σ = 22457756470968. Its totient is φ = 3941938483200.

The previous prime is 10102002222097. The next prime is 10102002222181. The reversal of 10102002222100 is 122220020101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7576388370576 + 2525613851524 = 2752524^2 + 1589218^2 .

It is a congruent number.

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, 56806924 + ... + 56984476.

It is an arithmetic number, because the mean of its divisors is an integer number (311913284319).

Almost surely, 2^{10102002222100} is an apocalyptic number.

10102002222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102002222100 is an abundant number, since it is smaller than the sum of its proper divisors (12355754248868).

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

10102002222100 is a wasteful number, since it uses less digits than its factorization.

10102002222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191485 (or 191478 counting only the distinct ones).

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

Adding to 10102002222100 its reverse (122220020101), we get a palindrome (10224222242201).

The spelling of 10102002222100 in words is "ten trillion, one hundred two billion, two million, two hundred twenty-two thousand, one hundred".