10122122012211 has 24 divisors (see below), whose sum is σ = 16001964922944. Its totient is φ = 6114636909360.

The previous prime is 10122122012207. The next prime is 10122122012213. The reversal of 10122122012211 is 11221022122101.

10122122012211 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 220 + 1 + 221 + 1 = 666.

It is not a de Polignac number, because 10122122012211 - 2² = 10122122012207 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122122012213) 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, 166490221 + ... + 166551006.

It is an arithmetic number, because the mean of its divisors is an integer number (666748538456).

Almost surely, 2^{10122122012211} is an apocalyptic number.

10122122012211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122122012211 is a deficient number, since it is larger than the sum of its proper divisors (5879842910733).

10122122012211 is a wasteful number, since it uses less digits than its factorization.

10122122012211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333041551 (or 333041548 counting only the distinct ones).

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

Adding to 10122122012211 its reverse (11221022122101), we get a palindrome (21343144134312).

The spelling of 10122122012211 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, twelve thousand, two hundred eleven".