22100000120101 has 2 divisors, whose sum is σ = 22100000120102. Its totient is φ = 22100000120100.

The previous prime is 22100000120063. The next prime is 22100000120113. The reversal of 22100000120101 is 10102100000122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21858186975076 + 241813145025 = 4675274^2 + 491745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22100000120101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22100000120131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050000060050 + 11050000060051.

It is an arithmetic number, because the mean of its divisors is an integer number (11050000060051).

Almost surely, 2^{22100000120101} is an apocalyptic number.

It is an amenable number.

22100000120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22100000120101 is an equidigital number, since it uses as much as digits as its factorization.

22100000120101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 22100000120101 its reverse (10102100000122), we get a palindrome (32202100120223).

The spelling of 22100000120101 in words is "twenty-two trillion, one hundred billion, one hundred twenty thousand, one hundred one".