102001122221059 has 2 divisors, whose sum is σ = 102001122221060. Its totient is φ = 102001122221058.

The previous prime is 102001122220997. The next prime is 102001122221071. The reversal of 102001122221059 is 950122221100201.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 102001122221059 - 2²³ = 102001113832451 is a prime.

It is a super-3 number, since 3×102001122221059³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (102001122231059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000561110529 + 51000561110530.

It is an arithmetic number, because the mean of its divisors is an integer number (51000561110530).

Almost surely, 2^{102001122221059} is an apocalyptic number.

102001122221059 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001122221059 is an equidigital number, since it uses as much as digits as its factorization.

102001122221059 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The spelling of 102001122221059 in words is "one hundred two trillion, one billion, one hundred twenty-two million, two hundred twenty-one thousand, fifty-nine".