10100310311221 has 48 divisors (see below), whose sum is σ = 11338668051984. Its totient is φ = 8938598400000.

The previous prime is 10100310311177. The next prime is 10100310311227. The reversal of 10100310311221 is 12211301300101.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 10096893908721 + 3416402500 = 3177561^2 + 58450^2 .

It is not a de Polignac number, because 10100310311221 - 2⁷ = 10100310311093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100310311195 and 10100310311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100310311227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3365646721 + ... + 3365649721.

It is an arithmetic number, because the mean of its divisors is an integer number (236222251083).

Almost surely, 2^{10100310311221} is an apocalyptic number.

It is an amenable number.

10100310311221 is a deficient number, since it is larger than the sum of its proper divisors (1238357740763).

10100310311221 is a wasteful number, since it uses less digits than its factorization.

10100310311221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4874 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 10100310311221 its reverse (12211301300101), we get a palindrome (22311611611322).

The spelling of 10100310311221 in words is "ten trillion, one hundred billion, three hundred ten million, three hundred eleven thousand, two hundred twenty-one".