22261007101681 has 2 divisors, whose sum is σ = 22261007101682. Its totient is φ = 22261007101680.

The previous prime is 22261007101657. The next prime is 22261007101687. The reversal of 22261007101681 is 18610170016222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15680966406400 + 6580040695281 = 3959920^2 + 2565159^2 .

It is a cyclic number.

It is not a de Polignac number, because 22261007101681 - 2⁹ = 22261007101169 is a prime.

It is a super-2 number, since 2×22261007101681² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22261007101681.

It is not a weakly prime, because it can be changed into another prime (22261007101687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11130503550840 + 11130503550841.

It is an arithmetic number, because the mean of its divisors is an integer number (11130503550841).

Almost surely, 2^{22261007101681} is an apocalyptic number.

It is an amenable number.

22261007101681 is a deficient number, since it is larger than the sum of its proper divisors (1).

22261007101681 is an equidigital number, since it uses as much as digits as its factorization.

22261007101681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 22261007101681 in words is "twenty-two trillion, two hundred sixty-one billion, seven million, one hundred one thousand, six hundred eighty-one".