101000011009993 has 2 divisors, whose sum is σ = 101000011009994. Its totient is φ = 101000011009992.

The previous prime is 101000011009981. The next prime is 101000011010011. The reversal of 101000011009993 is 399900110000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100773750963769 + 226260046224 = 10038613^2 + 475668^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000011009993 - 2³³ = 100991421075401 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000011009903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005504996 + 50500005504997.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005504997).

Almost surely, 2^{101000011009993} is an apocalyptic number.

It is an amenable number.

101000011009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000011009993 is an equidigital number, since it uses as much as digits as its factorization.

101000011009993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 34.

The spelling of 101000011009993 in words is "one hundred one trillion, eleven million, nine thousand, nine hundred ninety-three".