10200020111993 has 2 divisors, whose sum is σ = 10200020111994. Its totient is φ = 10200020111992.

The previous prime is 10200020111933. The next prime is 10200020112019. The reversal of 10200020111993 is 39911102000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7347829433344 + 2852190678649 = 2710688^2 + 1688843^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200020111993 - 2⁶ = 10200020111929 is a prime.

It is not a weakly prime, because it can be changed into another prime (10200020111933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100010055996 + 5100010055997.

It is an arithmetic number, because the mean of its divisors is an integer number (5100010055997).

Almost surely, 2^{10200020111993} is an apocalyptic number.

It is an amenable number.

10200020111993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200020111993 is an equidigital number, since it uses as much as digits as its factorization.

10200020111993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 10200020111993 in words is "ten trillion, two hundred billion, twenty million, one hundred eleven thousand, nine hundred ninety-three".