10220222202201 has 12 divisors (see below), whose sum is σ = 16104592561200. Its totient is φ = 6194074061880.

The previous prime is 10220222202137. The next prime is 10220222202247.

10220222202201 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 2 + 220 + 220 + 1 = 666.

10220222202201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10220222202201 - 2⁶ = 10220222202137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10220222202101) 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, 51617283751 + ... + 51617283948.

It is an arithmetic number, because the mean of its divisors is an integer number (1342049380100).

Almost surely, 2^{10220222202201} is an apocalyptic number.

10220222202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220222202201 is a deficient number, since it is larger than the sum of its proper divisors (5884370358999).

10220222202201 is a wasteful number, since it uses less digits than its factorization.

10220222202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103234567716 (or 103234567713 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 1022022 and 2202201, that added together give a palindrome (3224223).

The spelling of 10220222202201 in words is "ten trillion, two hundred twenty billion, two hundred twenty-two million, two hundred two thousand, two hundred one".