100201011021 has 12 divisors (see below), whose sum is σ = 148646545372. Its totient is φ = 64995250176.

The previous prime is 100201011019. The next prime is 100201011061. The reversal of 100201011021 is 120110102001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37398144996 + 62802866025 = 193386^2 + 250605^2 .

It is not a de Polignac number, because 100201011021 - 2¹ = 100201011019 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201010994 and 100201011012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150451636 + ... + 150452301.

Almost surely, 2^100201011021 is an apocalyptic number.

It is an amenable number.

100201011021 is a deficient number, since it is larger than the sum of its proper divisors (48445534351).

100201011021 is a wasteful number, since it uses less digits than its factorization.

100201011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300903980 (or 300903977 counting only the distinct ones).

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

Adding to 100201011021 its reverse (120110102001), we get a palindrome (220311113022).

The spelling of 100201011021 in words is "one hundred billion, two hundred one million, eleven thousand, twenty-one".