10221133112201 has 12 divisors (see below), whose sum is σ = 11259169764612. Its totient is φ = 9271783092000.

The previous prime is 10221133112171. The next prime is 10221133112257.

10221133112201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3931951897225 + 6289181214976 = 1982915^2 + 2507824^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10221133112201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221133112101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91562630 + ... + 91674191.

It is an arithmetic number, because the mean of its divisors is an integer number (938264147051).

Almost surely, 2^{10221133112201} is an apocalyptic number.

10221133112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221133112201 is a deficient number, since it is larger than the sum of its proper divisors (1038036652411).

10221133112201 is a wasteful number, since it uses less digits than its factorization.

10221133112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183237304 (or 183237293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 1022113 and 3112201, that added together give a palindrome (4134314).

The spelling of 10221133112201 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-three million, one hundred twelve thousand, two hundred one".