22121210100113 has 2 divisors, whose sum is σ = 22121210100114. Its totient is φ = 22121210100112.

The previous prime is 22121210100107. The next prime is 22121210100239. The reversal of 22121210100113 is 31100101212122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21040633218049 + 1080576882064 = 4587007^2 + 1039508^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121210100113 - 2⁴² = 17723163589009 is a prime.

It is a super-2 number, since 2×22121210100113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22121210100091 and 22121210100100.

It is not a weakly prime, because it can be changed into another prime (22121200100113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060605050056 + 11060605050057.

It is an arithmetic number, because the mean of its divisors is an integer number (11060605050057).

Almost surely, 2^{22121210100113} is an apocalyptic number.

It is an amenable number.

22121210100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121210100113 is an equidigital number, since it uses as much as digits as its factorization.

22121210100113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 22121210100113 its reverse (31100101212122), we get a palindrome (53221311312235).

The spelling of 22121210100113 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred ten million, one hundred thousand, one hundred thirteen".