100102201122210 has 128 divisors (see below), whose sum is σ = 281665308524544. Its totient is φ = 22293263301120.

The previous prime is 100102201122191. The next prime is 100102201122227. The reversal of 100102201122210 is 12221102201001.

It is a super-2 number, since 2×100102201122210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100102201122210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20539051 + ... + 24941070.

It is an arithmetic number, because the mean of its divisors is an integer number (2200510222848).

Almost surely, 2^{100102201122210} is an apocalyptic number.

100102201122210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102201122210 is an abundant number, since it is smaller than the sum of its proper divisors (181563107402334).

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

100102201122210 is a wasteful number, since it uses less digits than its factorization.

100102201122210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45480408.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100102201122210 its reverse (12221102201001), we get a palindrome (112323303323211).

The spelling of 100102201122210 in words is "one hundred trillion, one hundred two billion, two hundred one million, one hundred twenty-two thousand, two hundred ten".