10122122210211 has 80 divisors (see below), whose sum is σ = 16740129466368. Its totient is φ = 6044138611200.

The previous prime is 10122122210209. The next prime is 10122122210261. The reversal of 10122122210211 is 11201222122101.

10122122210211 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 22 + 210 + 211 = 666.

It is not a de Polignac number, because 10122122210211 - 2¹ = 10122122210209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122122210261) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19010626 + ... + 19535816.

Almost surely, 2^{10122122210211} is an apocalyptic number.

10122122210211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122122210211 is a deficient number, since it is larger than the sum of its proper divisors (6618007256157).

10122122210211 is a wasteful number, since it uses less digits than its factorization.

10122122210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525534 (or 525525 counting only the distinct ones).

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

Adding to 10122122210211 its reverse (11201222122101), we get a palindrome (21323344332312).

The spelling of 10122122210211 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand, two hundred eleven".