101122100000011 has 16 divisors (see below), whose sum is σ = 103123818217728. Its totient is φ = 99139065573600.

The previous prime is 101122099999997. The next prime is 101122100000023. The reversal of 101122100000011 is 110000001221101.

It is a cyclic number.

It is not a de Polignac number, because 101122100000011 - 2⁹ = 101122099999499 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122100000071) 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, 926727346 + ... + 926836456.

It is an arithmetic number, because the mean of its divisors is an integer number (6445238638608).

Almost surely, 2^{101122100000011} is an apocalyptic number.

101122100000011 is a deficient number, since it is larger than the sum of its proper divisors (2001718217717).

101122100000011 is a wasteful number, since it uses less digits than its factorization.

101122100000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194562.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101122100000011 its reverse (110000001221101), we get a palindrome (211122101221112).

The spelling of 101122100000011 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred million, eleven", and thus it is an aban number.