100101220101 has 6 divisors (see below), whose sum is σ = 144590651270. Its totient is φ = 66734146728.

The previous prime is 100101220049. The next prime is 100101220117. The reversal of 100101220101 is 101022101001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 61877060001 + 38224160100 = 248751^2 + 195510^2 .

It is not a de Polignac number, because 100101220101 - 2¹¹ = 100101218053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11122357789 = 100101220101 / (1 + 0 + 0 + 1 + 0 + 1 + 2 + 2 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101260101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561178886 + ... + 5561178903.

Almost surely, 2^100101220101 is an apocalyptic number.

It is an amenable number.

100101220101 is a deficient number, since it is larger than the sum of its proper divisors (44489431169).

100101220101 is a wasteful number, since it uses less digits than its factorization.

100101220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122357795 (or 11122357792 counting only the distinct ones).

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

Adding to 100101220101 its reverse (101022101001), we get a palindrome (201123321102).

The spelling of 100101220101 in words is "one hundred billion, one hundred one million, two hundred twenty thousand, one hundred one".