102001100012093 has 2 divisors, whose sum is σ = 102001100012094. Its totient is φ = 102001100012092.

The previous prime is 102001100012041. The next prime is 102001100012197. The reversal of 102001100012093 is 390210001100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63276329348164 + 38724770663929 = 7954642^2 + 6222923^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001100012093 - 2⁶ = 102001100012029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001100012393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000550006046 + 51000550006047.

It is an arithmetic number, because the mean of its divisors is an integer number (51000550006047).

Almost surely, 2^{102001100012093} is an apocalyptic number.

It is an amenable number.

102001100012093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001100012093 is an equidigital number, since it uses as much as digits as its factorization.

102001100012093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 102001100012093 its reverse (390210001100201), we get a palindrome (492211101112294).

The spelling of 102001100012093 in words is "one hundred two trillion, one billion, one hundred million, twelve thousand, ninety-three".