102512543100 has 216 divisors, whose sum is σ = 326449772544. Its totient is φ = 24818640000.

The previous prime is 102512543087. The next prime is 102512543141. The reversal of 102512543100 is 1345215201.

It is a happy number.

102512543100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102512543100² (a number of 23 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 71 ways as a sum of consecutive naturals, for example, 38149957 + ... + 38152643.

Almost surely, 2^102512543100 is an apocalyptic number.

102512543100 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 102512543100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163224886272).

102512543100 is an abundant number, since it is smaller than the sum of its proper divisors (223937229444).

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

102512543100 is a wasteful number, since it uses less digits than its factorization.

102512543100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3777 (or 3759 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 102512543100 its reverse (1345215201), we get a palindrome (103857758301).

The spelling of 102512543100 in words is "one hundred two billion, five hundred twelve million, five hundred forty-three thousand, one hundred".