102232302323100 has 288 divisors, whose sum is σ = 313082272452096. Its totient is φ = 25704683136000.

The previous prime is 102232302323069. The next prime is 102232302323117. The reversal of 102232302323100 is 1323203232201.

It is a super-2 number, since 2×102232302323100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157873182 + ... + 158519418.

It is an arithmetic number, because the mean of its divisors is an integer number (1087091223792).

Almost surely, 2^{102232302323100} is an apocalyptic number.

102232302323100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102232302323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156541136226048).

102232302323100 is an abundant number, since it is smaller than the sum of its proper divisors (210849970128996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102232302323100 is a wasteful number, since it uses less digits than its factorization.

102232302323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646605 (or 646598 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 102232302323100 its reverse (1323203232201), we get a palindrome (103555505555301).

The spelling of 102232302323100 in words is "one hundred two trillion, two hundred thirty-two billion, three hundred two million, three hundred twenty-three thousand, one hundred".