100202100010021 has 8 divisors (see below), whose sum is σ = 102969858267864. Its totient is φ = 97449761018880.

The previous prime is 100202100010013. The next prime is 100202100010027. The reversal of 100202100010021 is 120010001202001.

It can be written as a sum of positive squares in 4 ways, for example, as 20916627840900 + 79285472169121 = 4573470^2 + 8904239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100202100010021 - 2³ = 100202100010013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202100010027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3854803500 + ... + 3854829493.

It is an arithmetic number, because the mean of its divisors is an integer number (12871232283483).

Almost surely, 2^{100202100010021} is an apocalyptic number.

It is an amenable number.

100202100010021 is a deficient number, since it is larger than the sum of its proper divisors (2767758257843).

100202100010021 is an equidigital number, since it uses as much as digits as its factorization.

100202100010021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7709633351.

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

Adding to 100202100010021 its reverse (120010001202001), we get a palindrome (220212101212022).

The spelling of 100202100010021 in words is "one hundred trillion, two hundred two billion, one hundred million, ten thousand, twenty-one".