102221000001937 has 2 divisors, whose sum is σ = 102221000001938. Its totient is φ = 102221000001936.

The previous prime is 102221000001919. The next prime is 102221000002007. The reversal of 102221000001937 is 739100000122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79821376986961 + 22399623014976 = 8934281^2 + 4732824^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221000001937 - 2¹⁵ = 102220999969169 is a prime.

It is not a weakly prime, because it can be changed into another prime (102221000001917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110500000968 + 51110500000969.

It is an arithmetic number, because the mean of its divisors is an integer number (51110500000969).

Almost surely, 2^{102221000001937} is an apocalyptic number.

It is an amenable number.

102221000001937 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221000001937 is an equidigital number, since it uses as much as digits as its factorization.

102221000001937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 102221000001937 in words is "one hundred two trillion, two hundred twenty-one billion, one thousand, nine hundred thirty-seven".