21201100100993 has 2 divisors, whose sum is σ = 21201100100994. Its totient is φ = 21201100100992.

The previous prime is 21201100100987. The next prime is 21201100101127. The reversal of 21201100100993 is 39900100110212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16903675742464 + 4297424358529 = 4111408^2 + 2073023^2 .

It is a cyclic number.

It is not a de Polignac number, because 21201100100993 - 2²⁰ = 21201099052417 is a prime.

It is not a weakly prime, because it can be changed into another prime (21201100100903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10600550050496 + 10600550050497.

It is an arithmetic number, because the mean of its divisors is an integer number (10600550050497).

Almost surely, 2^{21201100100993} is an apocalyptic number.

It is an amenable number.

21201100100993 is a deficient number, since it is larger than the sum of its proper divisors (1).

21201100100993 is an equidigital number, since it uses as much as digits as its factorization.

21201100100993 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 21201100100993 in words is "twenty-one trillion, two hundred one billion, one hundred million, one hundred thousand, nine hundred ninety-three".