22101210021101 has 16 divisors (see below), whose sum is σ = 22369128078000. Its totient is φ = 21834546789888.

The previous prime is 22101210021061. The next prime is 22101210021151. The reversal of 22101210021101 is 10112001210122.

It can be written as a sum of positive squares in 8 ways, for example, as 7957330123876 + 14143879897225 = 2820874^2 + 3760835^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101210021101 - 2³⁴ = 22084030151917 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 (22101210021151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68231675 + ... + 68554823.

It is an arithmetic number, because the mean of its divisors is an integer number (1398070504875).

Almost surely, 2^{22101210021101} is an apocalyptic number.

It is an amenable number.

22101210021101 is a deficient number, since it is larger than the sum of its proper divisors (267918056899).

22101210021101 is a wasteful number, since it uses less digits than its factorization.

22101210021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325088.

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

Adding to 22101210021101 its reverse (10112001210122), we get a palindrome (32213211231223).

It can be divided in two parts, 22101210021 and 101, that added together give a palindrome (22101210122).

The spelling of 22101210021101 in words is "twenty-two trillion, one hundred one billion, two hundred ten million, twenty-one thousand, one hundred one".