101122211202101 has 8 divisors (see below), whose sum is σ = 104428021791744. Its totient is φ = 97819138348560.

The previous prime is 101122211202071. The next prime is 101122211202139. The reversal of 101122211202101 is 101202112221101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101122211202101 - 2⁶ = 101122211202037 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101122211202101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122211202601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 684358946 + ... + 684506691.

It is an arithmetic number, because the mean of its divisors is an integer number (13053502723968).

Almost surely, 2^{101122211202101} is an apocalyptic number.

It is an amenable number.

101122211202101 is a deficient number, since it is larger than the sum of its proper divisors (3305810589643).

101122211202101 is a wasteful number, since it uses less digits than its factorization.

101122211202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368868051.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122211202101 its reverse (101202112221101), we get a palindrome (202324323423202).

The spelling of 101122211202101 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, two hundred two thousand, one hundred one".