10001101199993 has 2 divisors, whose sum is σ = 10001101199994. Its totient is φ = 10001101199992.

The previous prime is 10001101199981. The next prime is 10001101200019. The reversal of 10001101199993 is 39999110110001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6113117790784 + 3887983409209 = 2472472^2 + 1971797^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001101199993 - 2¹⁴ = 10001101183609 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001101199923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000550599996 + 5000550599997.

It is an arithmetic number, because the mean of its divisors is an integer number (5000550599997).

Almost surely, 2^{10001101199993} is an apocalyptic number.

It is an amenable number.

10001101199993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001101199993 is an equidigital number, since it uses as much as digits as its factorization.

10001101199993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19683, while the sum is 44.

The spelling of 10001101199993 in words is "ten trillion, one billion, one hundred one million, one hundred ninety-nine thousand, nine hundred ninety-three".