22121011102113 has 24 divisors (see below), whose sum is σ = 39836972375616. Its totient is φ = 11491434338400.

The previous prime is 22121011102103. The next prime is 22121011102121. The reversal of 22121011102113 is 31120111012122.

It is a happy number.

22121011102113 is a `hidden beast` number, since 221 + 210 + 11 + 10 + 211 + 3 = 666.

It is not a de Polignac number, because 22121011102113 - 2⁶ = 22121011102049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22121011102103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15960324778 + ... + 15960326163.

It is an arithmetic number, because the mean of its divisors is an integer number (1659873848984).

Almost surely, 2^{22121011102113} is an apocalyptic number.

It is an amenable number.

22121011102113 is a deficient number, since it is larger than the sum of its proper divisors (17715961273503).

22121011102113 is a wasteful number, since it uses less digits than its factorization.

22121011102113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31920650965 (or 31920650962 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 22121011102113 its reverse (31120111012122), we get a palindrome (53241122114235).

The spelling of 22121011102113 in words is "twenty-two trillion, one hundred twenty-one billion, eleven million, one hundred two thousand, one hundred thirteen".