10201122211221 has 24 divisors (see below), whose sum is σ = 14750574827040. Its totient is φ = 6793542352800.

The previous prime is 10201122211193. The next prime is 10201122211229. The reversal of 10201122211221 is 12211222110201.

10201122211221 is a `hidden beast` number, since 10 + 201 + 1 + 22 + 211 + 221 = 666.

It is not a de Polignac number, because 10201122211221 - 2³¹ = 10198974727573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10201122211194 and 10201122211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201122211229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33513450 + ... + 33816468.

It is an arithmetic number, because the mean of its divisors is an integer number (614607284460).

Almost surely, 2^{10201122211221} is an apocalyptic number.

It is an amenable number.

10201122211221 is a deficient number, since it is larger than the sum of its proper divisors (4549452615819).

10201122211221 is a wasteful number, since it uses less digits than its factorization.

10201122211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306977 (or 306974 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10201122211221 its reverse (12211222110201), we get a palindrome (22412344321422).

The spelling of 10201122211221 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".