10211102212122 has 24 divisors (see below), whose sum is σ = 25284634049376. Its totient is φ = 2917457774856.

The previous prime is 10211102212067. The next prime is 10211102212133. The reversal of 10211102212122 is 22121220111201.

10211102212122 is a `hidden beast` number, since 10 + 211 + 10 + 221 + 212 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10211102212095 and 10211102212104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40520246748 + ... + 40520246999.

It is an arithmetic number, because the mean of its divisors is an integer number (1053526418724).

Almost surely, 2^{10211102212122} is an apocalyptic number.

10211102212122 is an abundant number, since it is smaller than the sum of its proper divisors (15073531837254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10211102212122 is a wasteful number, since it uses less digits than its factorization.

10211102212122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81040493762 (or 81040493759 counting only the distinct ones).

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

Adding to 10211102212122 its reverse (22121220111201), we get a palindrome (32332322323323).

The spelling of 10211102212122 in words is "ten trillion, two hundred eleven billion, one hundred two million, two hundred twelve thousand, one hundred twenty-two".