101022220101 has 48 divisors (see below), whose sum is σ = 153563647104. Its totient is φ = 58980240000.

The previous prime is 101022220093. The next prime is 101022220127.

101022220101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101022220101 - 2³ = 101022220093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022220171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1319296 + ... + 1393766.

It is an arithmetic number, because the mean of its divisors is an integer number (3199242648).

Almost surely, 2^101022220101 is an apocalyptic number.

101022220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022220101 is a deficient number, since it is larger than the sum of its proper divisors (52541427003).

101022220101 is a wasteful number, since it uses less digits than its factorization.

101022220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74634 (or 74623 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 101022 and 220101, that added together give a palindrome (321123).

The spelling of 101022220101 in words is "one hundred one billion, twenty-two million, two hundred twenty thousand, one hundred one".