100100221101 has 24 divisors (see below), whose sum is σ = 147353315616. Its totient is φ = 65458355040.

The previous prime is 100100221061. The next prime is 100100221147. The reversal of 100100221101 is 101122001001.

It is a happy number.

It is not a de Polignac number, because 100100221101 - 2¹³ = 100100212909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100223101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2114986 + ... + 2161796.

It is an arithmetic number, because the mean of its divisors is an integer number (6139721484).

Almost surely, 2^100100221101 is an apocalyptic number.

It is an amenable number.

100100221101 is a deficient number, since it is larger than the sum of its proper divisors (47253094515).

100100221101 is a wasteful number, since it uses less digits than its factorization.

100100221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51353 (or 51350 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100221101 its reverse (101122001001), we get a palindrome (201222222102).

It can be divided in two parts, 100100 and 221101, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 100100221101 in words is "one hundred billion, one hundred million, two hundred twenty-one thousand, one hundred one".