21122210102121 has 12 divisors (see below), whose sum is σ = 30512554162740. Its totient is φ = 14080229496960.

The previous prime is 21122210102113. The next prime is 21122210102131. The reversal of 21122210102121 is 12120101222112.

21122210102121 is a `hidden beast` number, since 211 + 22 + 210 + 10 + 212 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1301906102121 + 19820304000000 = 1141011^2 + 4452000^2 .

It is not a de Polignac number, because 21122210102121 - 2³ = 21122210102113 is a prime.

It is a super-2 number, since 2×21122210102121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21122210102094 and 21122210102103.

It is not an unprimeable number, because it can be changed into a prime (21122210102131) 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, 103551156 + ... + 103754933.

It is an arithmetic number, because the mean of its divisors is an integer number (2542712846895).

Almost surely, 2^{21122210102121} is an apocalyptic number.

It is an amenable number.

21122210102121 is a deficient number, since it is larger than the sum of its proper divisors (9390344060619).

21122210102121 is a wasteful number, since it uses less digits than its factorization.

21122210102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207317416 (or 207317413 counting only the distinct ones).

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

Adding to 21122210102121 its reverse (12120101222112), we get a palindrome (33242311324233).

The spelling of 21122210102121 in words is "twenty-one trillion, one hundred twenty-two billion, two hundred ten million, one hundred two thousand, one hundred twenty-one".