101122000112101 has 16 divisors (see below), whose sum is σ = 101715698684160. Its totient is φ = 100529878014720.

The previous prime is 101122000112059. The next prime is 101122000112201. The reversal of 101122000112101 is 101211000221101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101122000112101 - 2⁹ = 101122000111589 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 (101122000112201) 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, 355774695 + ... + 356058811.

It is an arithmetic number, because the mean of its divisors is an integer number (6357231167760).

Almost surely, 2^{101122000112101} is an apocalyptic number.

It is an amenable number.

101122000112101 is a deficient number, since it is larger than the sum of its proper divisors (593698572059).

101122000112101 is a wasteful number, since it uses less digits than its factorization.

101122000112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286884.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101122000112101 its reverse (101211000221101), we get a palindrome (202333000333202).

The spelling of 101122000112101 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twelve thousand, one hundred one".