101122002101 has 16 divisors (see below), whose sum is σ = 107355525120. Its totient is φ = 95043038640.

The previous prime is 101122002031. The next prime is 101122002127. The reversal of 101122002101 is 101200221101.

It is a de Polignac number, because none of the positive numbers 2^k-101122002101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122002301) 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, 3218096 + ... + 3249366.

It is an arithmetic number, because the mean of its divisors is an integer number (6709720320).

Almost surely, 2^101122002101 is an apocalyptic number.

It is an amenable number.

101122002101 is a deficient number, since it is larger than the sum of its proper divisors (6233523019).

101122002101 is a wasteful number, since it uses less digits than its factorization.

101122002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33736.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101122002101 its reverse (101200221101), we get a palindrome (202322223202).

The spelling of 101122002101 in words is "one hundred one billion, one hundred twenty-two million, two thousand, one hundred one".