101122212121113 has 16 divisors (see below), whose sum is σ = 144716397045696. Its totient is φ = 62580063582720.

The previous prime is 101122212121019. The next prime is 101122212121141. The reversal of 101122212121113 is 311121212221101.

It is not a de Polignac number, because 101122212121113 - 2²² = 101122207926809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101122212121113.

It is not an unprimeable number, because it can be changed into a prime (101122212126113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13580739243 + ... + 13580746688.

It is an arithmetic number, because the mean of its divisors is an integer number (9044774815356).

Almost surely, 2^{101122212121113} is an apocalyptic number.

It is an amenable number.

101122212121113 is a deficient number, since it is larger than the sum of its proper divisors (43594184924583).

101122212121113 is a wasteful number, since it uses less digits than its factorization.

101122212121113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27161486024.

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 101122212121113 its reverse (311121212221101), we get a palindrome (412243424342214).

The spelling of 101122212121113 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, one hundred thirteen".