22102120202081 has 2 divisors, whose sum is σ = 22102120202082. Its totient is φ = 22102120202080.

The previous prime is 22102120202077. The next prime is 22102120202089. The reversal of 22102120202081 is 18020202120122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17824735144225 + 4277385057856 = 4221935^2 + 2068184^2 .

It is a cyclic number.

It is not a de Polignac number, because 22102120202081 - 2² = 22102120202077 is a prime.

It is a super-2 number, since 2×22102120202081² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (22102120202089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11051060101040 + 11051060101041.

It is an arithmetic number, because the mean of its divisors is an integer number (11051060101041).

Almost surely, 2^{22102120202081} is an apocalyptic number.

It is an amenable number.

22102120202081 is a deficient number, since it is larger than the sum of its proper divisors (1).

22102120202081 is an equidigital number, since it uses as much as digits as its factorization.

22102120202081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

The spelling of 22102120202081 in words is "twenty-two trillion, one hundred two billion, one hundred twenty million, two hundred two thousand, eighty-one".