102102320100 has 144 divisors (see below), whose sum is σ = 323188689600. Its totient is φ = 24681676800.

The previous prime is 102102320071. The next prime is 102102320101. The reversal of 102102320100 is 1023201201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102102320101) 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, 1121076 + ... + 1208724.

It is an arithmetic number, because the mean of its divisors is an integer number (2244365900).

Almost surely, 2^102102320100 is an apocalyptic number.

102102320100 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 102102320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161594344800).

102102320100 is an abundant number, since it is smaller than the sum of its proper divisors (221086369500).

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

102102320100 is a wasteful number, since it uses less digits than its factorization.

102102320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88030 (or 88023 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102102320100 its reverse (1023201201), we get a palindrome (103125521301).

The spelling of 102102320100 in words is "one hundred two billion, one hundred two million, three hundred twenty thousand, one hundred".