10021101200993 has 2 divisors, whose sum is σ = 10021101200994. Its totient is φ = 10021101200992.

The previous prime is 10021101200987. The next prime is 10021101201011. The reversal of 10021101200993 is 39900210112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8432913986704 + 1588187214289 = 2903948^2 + 1260233^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021101200993 - 2¹⁰ = 10021101199969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10021101200293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010550600496 + 5010550600497.

It is an arithmetic number, because the mean of its divisors is an integer number (5010550600497).

Almost surely, 2^{10021101200993} is an apocalyptic number.

It is an amenable number.

10021101200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021101200993 is an equidigital number, since it uses as much as digits as its factorization.

10021101200993 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.

Adding to 10021101200993 its reverse (39900210112001), we get a palindrome (49921311312994).

The spelling of 10021101200993 in words is "ten trillion, twenty-one billion, one hundred one million, two hundred thousand, nine hundred ninety-three".