100101122122110 has 64 divisors (see below), whose sum is σ = 259721830425600. Its totient is φ = 24605226029952.

The previous prime is 100101122122087. The next prime is 100101122122153. The reversal of 100101122122110 is 11221221101001.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100101122122110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2373168150 + ... + 2373210329.

It is an arithmetic number, because the mean of its divisors is an integer number (4058153600400).

Almost surely, 2^{100101122122110} is an apocalyptic number.

100101122122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101122122110 is an abundant number, since it is smaller than the sum of its proper divisors (159620708303490).

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

100101122122110 is a wasteful number, since it uses less digits than its factorization.

100101122122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746378545.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100101122122110 its reverse (11221221101001), we get a palindrome (111322343223111).

The spelling of 100101122122110 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred ten".