22102100001101 has 8 divisors (see below), whose sum is σ = 22616201894880. Its totient is φ = 21588002633232.

The previous prime is 22102100001077. The next prime is 22102100001131. The reversal of 22102100001101 is 10110000120122.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22102100001101 - 2²⁶ = 22102032892237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22102100001131) 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 7 ways as a sum of consecutive naturals, for example, 10010330 + ... + 12017108.

It is an arithmetic number, because the mean of its divisors is an integer number (2827025236860).

Almost surely, 2^{22102100001101} is an apocalyptic number.

It is an amenable number.

22102100001101 is a deficient number, since it is larger than the sum of its proper divisors (514101893779).

22102100001101 is a wasteful number, since it uses less digits than its factorization.

22102100001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262955.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22102100001101 its reverse (10110000120122), we get a palindrome (32212100121223).

The spelling of 22102100001101 in words is "twenty-two trillion, one hundred two billion, one hundred million, one thousand, one hundred one".