100201102021 has 4 divisors (see below), whose sum is σ = 100417519552. Its totient is φ = 99984684492.

The previous prime is 100201101983. The next prime is 100201102049. The reversal of 100201102021 is 120201102001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100201102021 - 2⁹ = 100201101509 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201101989 and 100201102007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201102051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108208071 + ... + 108208996.

It is an arithmetic number, because the mean of its divisors is an integer number (25104379888).

Almost surely, 2^100201102021 is an apocalyptic number.

It is an amenable number.

100201102021 is a deficient number, since it is larger than the sum of its proper divisors (216417531).

100201102021 is an equidigital number, since it uses as much as digits as its factorization.

100201102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216417530.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100201102021 its reverse (120201102001), we get a palindrome (220402204022).

The spelling of 100201102021 in words is "one hundred billion, two hundred one million, one hundred two thousand, twenty-one".