100201313021 has 4 divisors (see below), whose sum is σ = 104557891872. Its totient is φ = 95844734172.

The previous prime is 100201312951. The next prime is 100201313027. The reversal of 100201313021 is 120313102001.

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 100201313021 - 2¹⁸ = 100201050877 is a prime.

It is a super-2 number, since 2×100201313021² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201312987 and 100201313005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201313027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2178289391 + ... + 2178289436.

It is an arithmetic number, because the mean of its divisors is an integer number (26139472968).

Almost surely, 2^100201313021 is an apocalyptic number.

It is an amenable number.

100201313021 is a deficient number, since it is larger than the sum of its proper divisors (4356578851).

100201313021 is an equidigital number, since it uses as much as digits as its factorization.

100201313021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356578850.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100201313021 its reverse (120313102001), we get a palindrome (220514415022).

The spelling of 100201313021 in words is "one hundred billion, two hundred one million, three hundred thirteen thousand, twenty-one".