101122102010001 has 4 divisors (see below), whose sum is σ = 134829469346672. Its totient is φ = 67414734673332.

The previous prime is 101122102009969. The next prime is 101122102010021. The reversal of 101122102010001 is 100010201221101.

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 not a de Polignac number, because 101122102010001 - 2⁵ = 101122102009969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122102010021) 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, 16853683668331 + ... + 16853683668336.

It is an arithmetic number, because the mean of its divisors is an integer number (33707367336668).

Almost surely, 2^{101122102010001} is an apocalyptic number.

It is an amenable number.

101122102010001 is a deficient number, since it is larger than the sum of its proper divisors (33707367336671).

101122102010001 is an equidigital number, since it uses as much as digits as its factorization.

101122102010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33707367336670.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101122102010001 its reverse (100010201221101), we get a palindrome (201132303231102).

The spelling of 101122102010001 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred two million, ten thousand, one".