22101102100037 has 2 divisors, whose sum is σ = 22101102100038. Its totient is φ = 22101102100036.

The previous prime is 22101102100009. The next prime is 22101102100039. The reversal of 22101102100037 is 73000120110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21830583527041 + 270518572996 = 4672321^2 + 520114^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-22101102100037 is a prime.

Together with 22101102100039, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 22101102099991 and 22101102100018.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22101102100039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050551050018 + 11050551050019.

It is an arithmetic number, because the mean of its divisors is an integer number (11050551050019).

Almost surely, 2^{22101102100037} is an apocalyptic number.

It is an amenable number.

22101102100037 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101102100037 is an equidigital number, since it uses as much as digits as its factorization.

22101102100037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 22101102100037 its reverse (73000120110122), we get a palindrome (95101222210159).

The spelling of 22101102100037 in words is "twenty-two trillion, one hundred one billion, one hundred two million, one hundred thousand, thirty-seven".