22312210220101 has 2 divisors, whose sum is σ = 22312210220102. Its totient is φ = 22312210220100.

The previous prime is 22312210219979. The next prime is 22312210220107. The reversal of 22312210220101 is 10102201221322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12778158369025 + 9534051851076 = 3574655^2 + 3087726^2 .

It is a cyclic number.

It is not a de Polignac number, because 22312210220101 - 2³⁹ = 21762454406213 is a prime.

It is a super-3 number, since 3×22312210220101³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22312210220107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11156105110050 + 11156105110051.

It is an arithmetic number, because the mean of its divisors is an integer number (11156105110051).

Almost surely, 2^{22312210220101} is an apocalyptic number.

It is an amenable number.

22312210220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22312210220101 is an equidigital number, since it uses as much as digits as its factorization.

22312210220101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 22312210220101 its reverse (10102201221322), we get a palindrome (32414411441423).

The spelling of 22312210220101 in words is "twenty-two trillion, three hundred twelve billion, two hundred ten million, two hundred twenty thousand, one hundred one".