102132322110 has 768 divisors, whose sum is σ = 351068110848. Its totient is φ = 20030976000.

The previous prime is 102132322093. The next prime is 102132322199. The reversal of 102132322110 is 11223231201.

102132322110 is a `hidden beast` number, since 10 + 213 + 232 + 211 + 0 = 666.

It is a super-2 number, since 2×102132322110² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1011211060 + ... + 1011211160.

It is an arithmetic number, because the mean of its divisors is an integer number (457119936).

Almost surely, 2^102132322110 is an apocalyptic number.

102132322110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102132322110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175534055424).

102132322110 is an abundant number, since it is smaller than the sum of its proper divisors (248935788738).

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

102132322110 is a wasteful number, since it uses less digits than its factorization.

102132322110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102132322110 its reverse (11223231201), we get a palindrome (113355553311).

Subtracting from 102132322110 its reverse (11223231201), we obtain a palindrome (90909090909).

The spelling of 102132322110 in words is "one hundred two billion, one hundred thirty-two million, three hundred twenty-two thousand, one hundred ten".