102121323213 has 48 divisors (see below), whose sum is σ = 177992712576. Its totient is φ = 51524161920.

The previous prime is 102121323197. The next prime is 102121323299. The reversal of 102121323213 is 312323121201.

It is not a de Polignac number, because 102121323213 - 2⁴ = 102121323197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102121323213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121321213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117758 + ... + 1205663.

It is an arithmetic number, because the mean of its divisors is an integer number (3708181512).

Almost surely, 2^102121323213 is an apocalyptic number.

102121323213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102121323213 is a deficient number, since it is larger than the sum of its proper divisors (75871389363).

102121323213 is a wasteful number, since it uses less digits than its factorization.

102121323213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323474 (or 2323467 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102121323213 its reverse (312323121201), we get a palindrome (414444444414).

The spelling of 102121323213 in words is "one hundred two billion, one hundred twenty-one million, three hundred twenty-three thousand, two hundred thirteen".