102202000009873 has 2 divisors, whose sum is σ = 102202000009874. Its totient is φ = 102202000009872.

The previous prime is 102202000009867. The next prime is 102202000010003. The reversal of 102202000009873 is 378900000202201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69763370887809 + 32438629122064 = 8352447^2 + 5695492^2 .

It is a cyclic number.

It is not a de Polignac number, because 102202000009873 - 2²⁵ = 102201966455441 is a prime.

It is a super-2 number, since 2×102202000009873² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102202000039873) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51101000004936 + 51101000004937.

It is an arithmetic number, because the mean of its divisors is an integer number (51101000004937).

Almost surely, 2^{102202000009873} is an apocalyptic number.

It is an amenable number.

102202000009873 is a deficient number, since it is larger than the sum of its proper divisors (1).

102202000009873 is an equidigital number, since it uses as much as digits as its factorization.

102202000009873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 102202000009873 in words is "one hundred two trillion, two hundred two billion, nine thousand, eight hundred seventy-three".