101022202220101 has 16 divisors (see below), whose sum is σ = 104459299603200. Its totient is φ = 97659009946368.

The previous prime is 101022202220099. The next prime is 101022202220131.

It is a happy number.

101022202220101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101022202220101 - 2¹ = 101022202220099 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 (101022202220131) 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, 63141631 + ... + 64721788.

It is an arithmetic number, because the mean of its divisors is an integer number (6528706225200).

Almost surely, 2^{101022202220101} is an apocalyptic number.

It is an amenable number.

101022202220101 is a deficient number, since it is larger than the sum of its proper divisors (3437097383099).

101022202220101 is a wasteful number, since it uses less digits than its factorization.

101022202220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127863708.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 10102220 and 2220101, that added together give a palindrome (12322321).

The spelling of 101022202220101 in words is "one hundred one trillion, twenty-two billion, two hundred two million, two hundred twenty thousand, one hundred one".