10100211200993 has 2 divisors, whose sum is σ = 10100211200994. Its totient is φ = 10100211200992.

The previous prime is 10100211200987. The next prime is 10100211201029. The reversal of 10100211200993 is 39900211200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5816089485649 + 4284121715344 = 2411657^2 + 2069812^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100211200993 - 2⁴ = 10100211200977 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100211200953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050105600496 + 5050105600497.

It is an arithmetic number, because the mean of its divisors is an integer number (5050105600497).

Almost surely, 2^{10100211200993} is an apocalyptic number.

It is an amenable number.

10100211200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100211200993 is an equidigital number, since it uses as much as digits as its factorization.

10100211200993 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 10100211200993 in words is "ten trillion, one hundred billion, two hundred eleven million, two hundred thousand, nine hundred ninety-three".