102201121993 has 2 divisors, whose sum is σ = 102201121994. Its totient is φ = 102201121992.

The previous prime is 102201121987. The next prime is 102201122123. The reversal of 102201121993 is 399121102201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87218627584 + 14982494409 = 295328^2 + 122403^2 .

It is a cyclic number.

It is not a de Polignac number, because 102201121993 - 2¹⁷ = 102200990921 is a prime.

It is not a weakly prime, because it can be changed into another prime (102201121903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51100560996 + 51100560997.

It is an arithmetic number, because the mean of its divisors is an integer number (51100560997).

Almost surely, 2^102201121993 is an apocalyptic number.

It is an amenable number.

102201121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102201121993 is an equidigital number, since it uses as much as digits as its factorization.

102201121993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 102201121993 in words is "one hundred two billion, two hundred one million, one hundred twenty-one thousand, nine hundred ninety-three".