10110311320221 has 64 divisors (see below), whose sum is σ = 17177238466560. Its totient is φ = 5757338917440.

The previous prime is 10110311320097. The next prime is 10110311320247. The reversal of 10110311320221 is 12202311301101.

10110311320221 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 311 + 320 + 2 + 21 = 666.

It is not a de Polignac number, because 10110311320221 - 2²⁹ = 10109774449309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10110311320194 and 10110311320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110310320221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147417280 + ... + 147485846.

It is an arithmetic number, because the mean of its divisors is an integer number (268394351040).

Almost surely, 2^{10110311320221} is an apocalyptic number.

It is an amenable number.

10110311320221 is a deficient number, since it is larger than the sum of its proper divisors (7066927146339).

10110311320221 is a wasteful number, since it uses less digits than its factorization.

10110311320221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71271 (or 71265 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10110311320221 its reverse (12202311301101), we get a palindrome (22312622621322).

The spelling of 10110311320221 in words is "ten trillion, one hundred ten billion, three hundred eleven million, three hundred twenty thousand, two hundred twenty-one".