22121120100101 has 12 divisors (see below), whose sum is σ = 24349636377612. Its totient is φ = 20081421360000.

The previous prime is 22121120100073. The next prime is 22121120100133. The reversal of 22121120100101 is 10100102112122.

It can be written as a sum of positive squares in 2 ways, for example, as 15373848902500 + 6747271197601 = 3920950^2 + 2597551^2 .

It is a de Polignac number, because none of the positive numbers 2^k-22121120100101 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 (22121120100301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130314020 + ... + 130483661.

It is an arithmetic number, because the mean of its divisors is an integer number (2029136364801).

Almost surely, 2^{22121120100101} is an apocalyptic number.

It is an amenable number.

22121120100101 is a deficient number, since it is larger than the sum of its proper divisors (2228516277511).

22121120100101 is a wasteful number, since it uses less digits than its factorization.

22121120100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260798404 (or 260798393 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 22121120100101 its reverse (10100102112122), we get a palindrome (32221222212223).

The spelling of 22121120100101 in words is "twenty-two trillion, one hundred twenty-one billion, one hundred twenty million, one hundred thousand, one hundred one".