102100213313232 has 160 divisors (see below), whose sum is σ = 270338746022400. Its totient is φ = 33187033345536.

The previous prime is 102100213313191. The next prime is 102100213313237. The reversal of 102100213313232 is 232313312001201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100213313237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6487076019 + ... + 6487091757.

It is an arithmetic number, because the mean of its divisors is an integer number (1689617162640).

Almost surely, 2^{102100213313232} is an apocalyptic number.

102100213313232 is a gapful number since it is divisible by the number (12) 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 102100213313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135169373011200).

102100213313232 is an abundant number, since it is smaller than the sum of its proper divisors (168238532709168).

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

102100213313232 is a wasteful number, since it uses less digits than its factorization.

102100213313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20785 (or 20779 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102100213313232 its reverse (232313312001201), we get a palindrome (334413525314433).

The spelling of 102100213313232 in words is "one hundred two trillion, one hundred billion, two hundred thirteen million, three hundred thirteen thousand, two hundred thirty-two".