22102001100113 has 16 divisors (see below), whose sum is σ = 24892207718400. Its totient is φ = 19442114216400.

The previous prime is 22102001100089. The next prime is 22102001100131. The reversal of 22102001100113 is 31100110020122.

It is a cyclic number.

It is not a de Polignac number, because 22102001100113 - 2¹⁶ = 22102001034577 is a prime.

It is a super-2 number, since 2×22102001100113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22102001100013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1402313 + ... + 6794886.

It is an arithmetic number, because the mean of its divisors is an integer number (1555762982400).

Almost surely, 2^{22102001100113} is an apocalyptic number.

It is an amenable number.

22102001100113 is a deficient number, since it is larger than the sum of its proper divisors (2790206618287).

22102001100113 is a wasteful number, since it uses less digits than its factorization.

22102001100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8205148.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 22102001100113 its reverse (31100110020122), we get a palindrome (53202111120235).

The spelling of 22102001100113 in words is "twenty-two trillion, one hundred two billion, one million, one hundred thousand, one hundred thirteen".