101122211101121 has 4 divisors (see below), whose sum is σ = 115568241258432. Its totient is φ = 86676180943812.

The previous prime is 101122211101061. The next prime is 101122211101127. The reversal of 101122211101121 is 121101112221101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101122211101121 - 2¹⁴ = 101122211084737 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 101122211101121.

It is not an unprimeable number, because it can be changed into a prime (101122211101127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7223015078645 + ... + 7223015078658.

It is an arithmetic number, because the mean of its divisors is an integer number (28892060314608).

Almost surely, 2^{101122211101121} is an apocalyptic number.

It is an amenable number.

101122211101121 is a deficient number, since it is larger than the sum of its proper divisors (14446030157311).

101122211101121 is an equidigital number, since it uses as much as digits as its factorization.

101122211101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14446030157310.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101122211101121 its reverse (121101112221101), we get a palindrome (222223323322222).

The spelling of 101122211101121 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred one thousand, one hundred twenty-one".