101122201012101 has 4 divisors (see below), whose sum is σ = 134829601349472. Its totient is φ = 67414800674732.

The previous prime is 101122201012067. The next prime is 101122201012163. The reversal of 101122201012101 is 101210102221101.

It is a happy number.

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 101122201012101 - 2¹⁰ = 101122201011077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122201012171) 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, 16853700168681 + ... + 16853700168686.

It is an arithmetic number, because the mean of its divisors is an integer number (33707400337368).

Almost surely, 2^{101122201012101} is an apocalyptic number.

It is an amenable number.

101122201012101 is a deficient number, since it is larger than the sum of its proper divisors (33707400337371).

101122201012101 is an equidigital number, since it uses as much as digits as its factorization.

101122201012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33707400337370.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101122201012101 its reverse (101210102221101), we get a palindrome (202332303233202).

The spelling of 101122201012101 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred one million, twelve thousand, one hundred one".