102110001993 has 12 divisors (see below), whose sum is σ = 147495300420. Its totient is φ = 68071915296.

The previous prime is 102110001953. The next prime is 102110001997. The reversal of 102110001993 is 399100011201.

It can be written as a sum of positive squares in 2 ways, for example, as 91003582224 + 11106419769 = 301668^2 + 105387^2 .

It is not a de Polignac number, because 102110001993 - 2⁸ = 102110001737 is a prime.

It is a super-3 number, since 3×102110001993³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102110001997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516823 + ... + 686531.

It is an arithmetic number, because the mean of its divisors is an integer number (12291275035).

Almost surely, 2^102110001993 is an apocalyptic number.

It is an amenable number.

102110001993 is a deficient number, since it is larger than the sum of its proper divisors (45385298427).

102110001993 is a wasteful number, since it uses less digits than its factorization.

102110001993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236568 (or 236565 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The spelling of 102110001993 in words is "one hundred two billion, one hundred ten million, one thousand, nine hundred ninety-three".