2102120329993 has 2 divisors, whose sum is σ = 2102120329994. Its totient is φ = 2102120329992.

The previous prime is 2102120329973. The next prime is 2102120330059. The reversal of 2102120329993 is 3999230212012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2102114317689 + 6012304 = 1449867^2 + 2452^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102120329993 - 2²⁵ = 2102086775561 is a prime.

It is a super-3 number, since 3×2102120329993³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2102120329973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051060164996 + 1051060164997.

It is an arithmetic number, because the mean of its divisors is an integer number (1051060164997).

Almost surely, 2^{2102120329993} is an apocalyptic number.

It is an amenable number.

2102120329993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102120329993 is an equidigital number, since it uses as much as digits as its factorization.

2102120329993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 2102120329993 in words is "two trillion, one hundred two billion, one hundred twenty million, three hundred twenty-nine thousand, nine hundred ninety-three".