101100010109993 has 2 divisors, whose sum is σ = 101100010109994. Its totient is φ = 101100010109992.

The previous prime is 101100010109953. The next prime is 101100010110019. The reversal of 101100010109993 is 399901010001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95722977251344 + 5377032858649 = 9783812^2 + 2318843^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100010109993 - 2⁸ = 101100010109737 is a prime.

It is not a weakly prime, because it can be changed into another prime (101100010109933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550005054996 + 50550005054997.

It is an arithmetic number, because the mean of its divisors is an integer number (50550005054997).

Almost surely, 2^{101100010109993} is an apocalyptic number.

It is an amenable number.

101100010109993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100010109993 is an equidigital number, since it uses as much as digits as its factorization.

101100010109993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 35.

The spelling of 101100010109993 in words is "one hundred one trillion, one hundred billion, ten million, one hundred nine thousand, nine hundred ninety-three".