22100100120001 has 8 divisors (see below), whose sum is σ = 22225350072960. Its totient is φ = 21975123341808.

The previous prime is 22100100119963. The next prime is 22100100120011. The reversal of 22100100120001 is 10002100100122.

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 22100100120001 - 2¹⁷ = 22100099988929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22100100120001.

It is not an unprimeable number, because it can be changed into a prime (22100100120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68131431 + ... + 68455036.

It is an arithmetic number, because the mean of its divisors is an integer number (2778168759120).

Almost surely, 2^{22100100120001} is an apocalyptic number.

It is an amenable number.

22100100120001 is a deficient number, since it is larger than the sum of its proper divisors (125249952959).

22100100120001 is a wasteful number, since it uses less digits than its factorization.

22100100120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136587383.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 22100100120001 its reverse (10002100100122), we get a palindrome (32102200220123).

The spelling of 22100100120001 in words is "twenty-two trillion, one hundred billion, one hundred million, one hundred twenty thousand, one".