101122001010101 has 4 divisors (see below), whose sum is σ = 106444211589600. Its totient is φ = 95799790430604.

The previous prime is 101122001010049. The next prime is 101122001010103. The reversal of 101122001010101 is 101010100221101.

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 101122001010101 - 2²² = 101121996815797 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 (101122001010103) 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, 2661105289721 + ... + 2661105289758.

It is an arithmetic number, because the mean of its divisors is an integer number (26611052897400).

Almost surely, 2^{101122001010101} is an apocalyptic number.

It is an amenable number.

101122001010101 is a deficient number, since it is larger than the sum of its proper divisors (5322210579499).

101122001010101 is an equidigital number, since it uses as much as digits as its factorization.

101122001010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5322210579498.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101122001010101 its reverse (101010100221101), we get a palindrome (202132101231202).

The spelling of 101122001010101 in words is "one hundred one trillion, one hundred twenty-two billion, one million, ten thousand, one hundred one".