100201100000021 has 4 divisors (see below), whose sum is σ = 100269217676544. Its totient is φ = 100132982323500.

The previous prime is 100201100000017. The next prime is 100201100000047. The reversal of 100201100000021 is 120000001102001.

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 100201100000021 - 2² = 100201100000017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201099999954 and 100201100000008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201100000051) 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, 34058836055 + ... + 34058838996.

It is an arithmetic number, because the mean of its divisors is an integer number (25067304419136).

Almost surely, 2^{100201100000021} is an apocalyptic number.

It is an amenable number.

100201100000021 is a deficient number, since it is larger than the sum of its proper divisors (68117676523).

100201100000021 is an equidigital number, since it uses as much as digits as its factorization.

100201100000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68117676522.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100201100000021 its reverse (120000001102001), we get a palindrome (220201101102022).

The spelling of 100201100000021 in words is "one hundred trillion, two hundred one billion, one hundred million, twenty-one", and thus it is an aban number.