102000131100 has 864 divisors, whose sum is σ = 395174707200. Its totient is φ = 21511526400.

The previous prime is 102000131041. The next prime is 102000131113. The reversal of 102000131100 is 1131000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 534032005 + ... + 534032195.

Almost surely, 2^102000131100 is an apocalyptic number.

102000131100 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 102000131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197587353600).

102000131100 is an abundant number, since it is smaller than the sum of its proper divisors (293174576100).

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

102000131100 is a wasteful number, since it uses less digits than its factorization.

102000131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 102000131100 its reverse (1131000201), we get a palindrome (103131131301).

The spelling of 102000131100 in words is "one hundred two billion, one hundred thirty-one thousand, one hundred".