102220002121949 has 2 divisors, whose sum is σ = 102220002121950. Its totient is φ = 102220002121948.

The previous prime is 102220002121931. The next prime is 102220002122057. The reversal of 102220002121949 is 949121200022201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77134378933924 + 25085623188025 = 8782618^2 + 5008555^2 .

It is an emirp because it is prime and its reverse (949121200022201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102220002121949 - 2³⁶ = 102151282645213 is a prime.

It is a super-2 number, since 2×102220002121949² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102220002121049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110001060974 + 51110001060975.

It is an arithmetic number, because the mean of its divisors is an integer number (51110001060975).

Almost surely, 2^{102220002121949} is an apocalyptic number.

It is an amenable number.

102220002121949 is a deficient number, since it is larger than the sum of its proper divisors (1).

102220002121949 is an equidigital number, since it uses as much as digits as its factorization.

102220002121949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 102220002121949 in words is "one hundred two trillion, two hundred twenty billion, two million, one hundred twenty-one thousand, nine hundred forty-nine".