101012222210101 has 16 divisors (see below), whose sum is σ = 105044990976000. Its totient is φ = 97028779161600.

The previous prime is 101012222210093. The next prime is 101012222210111.

101012222210101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101012222210101 - 2³ = 101012222210093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012222210111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1252245 + ... + 14268586.

It is an arithmetic number, because the mean of its divisors is an integer number (6565311936000).

Almost surely, 2^{101012222210101} is an apocalyptic number.

It is an amenable number.

101012222210101 is a deficient number, since it is larger than the sum of its proper divisors (4032768765899).

101012222210101 is a wasteful number, since it uses less digits than its factorization.

101012222210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15522420.

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 101012222210101 in words is "one hundred one trillion, twelve billion, two hundred twenty-two million, two hundred ten thousand, one hundred one".