100102122022210 has 128 divisors (see below), whose sum is σ = 225304304855040. Its totient is φ = 31109107276800.

The previous prime is 100102122022159. The next prime is 100102122022237. The reversal of 100102122022210 is 12220221201001.

It is a happy number.

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, 1018729402 + ... + 1018827658.

It is an arithmetic number, because the mean of its divisors is an integer number (1760189881680).

Almost surely, 2^{100102122022210} is an apocalyptic number.

100102122022210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102122022210 is an abundant number, since it is smaller than the sum of its proper divisors (125202182832830).

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

100102122022210 is a wasteful number, since it uses less digits than its factorization.

100102122022210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102152.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100102122022210 its reverse (12220221201001), we get a palindrome (112322343223211).

The spelling of 100102122022210 in words is "one hundred trillion, one hundred two billion, one hundred twenty-two million, twenty-two thousand, two hundred ten".