22120120100101 has 8 divisors (see below), whose sum is σ = 22423750323480. Its totient is φ = 21816506495232.

The previous prime is 22120120100077. The next prime is 22120120100107. The reversal of 22120120100101 is 10100102102122.

It can be written as a sum of positive squares in 4 ways, for example, as 6088112108100 + 16032007992001 = 2467410^2 + 4003999^2 .

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 22120120100101 - 2⁹ = 22120120099589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120120100107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1462360 + ... + 6810193.

It is an arithmetic number, because the mean of its divisors is an integer number (2802968790435).

Almost surely, 2^{22120120100101} is an apocalyptic number.

It is an amenable number.

22120120100101 is a deficient number, since it is larger than the sum of its proper divisors (303630223379).

22120120100101 is an equidigital number, since it uses as much as digits as its factorization.

22120120100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8309255.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 22120120100101 its reverse (10100102102122), we get a palindrome (32220222202223).

The spelling of 22120120100101 in words is "twenty-two trillion, one hundred twenty billion, one hundred twenty million, one hundred thousand, one hundred one".