100011010999993 has 2 divisors, whose sum is σ = 100011010999994. Its totient is φ = 100011010999992.

The previous prime is 100011010999891. The next prime is 100011011000023. The reversal of 100011010999993 is 399999010110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 56500523322489 + 43510487677504 = 7516683^2 + 6596248^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011010999993 - 2¹⁷ = 100011010868921 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011010999993.

It is not a weakly prime, because it can be changed into another prime (100011010999093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005505499996 + 50005505499997.

It is an arithmetic number, because the mean of its divisors is an integer number (50005505499997).

Almost surely, 2^{100011010999993} is an apocalyptic number.

It is an amenable number.

100011010999993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011010999993 is an equidigital number, since it uses as much as digits as its factorization.

100011010999993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 177147, while the sum is 52.

The spelling of 100011010999993 in words is "one hundred trillion, eleven billion, ten million, nine hundred ninety-nine thousand, nine hundred ninety-three".