101022222001001 has 16 divisors (see below), whose sum is σ = 119247059923968. Its totient is φ = 83748880670400.

The previous prime is 101022222000971. The next prime is 101022222001003. The reversal of 101022222001001 is 100100222220101.

It is a cyclic number.

It is not a de Polignac number, because 101022222001001 - 2⁶ = 101022222000937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022222001003) 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, 133940210 + ... + 134692331.

It is an arithmetic number, because the mean of its divisors is an integer number (7452941245248).

Almost surely, 2^{101022222001001} is an apocalyptic number.

It is an amenable number.

101022222001001 is a deficient number, since it is larger than the sum of its proper divisors (18224837922967).

101022222001001 is a wasteful number, since it uses less digits than its factorization.

101022222001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268634312.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101022222001001 its reverse (100100222220101), we get a palindrome (201122444221102).

The spelling of 101022222001001 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-two million, one thousand, one".