102711330000 has 900 divisors, whose sum is σ = 394763260320. Its totient is φ = 24866688000.

The previous prime is 102711329993. The next prime is 102711330049. The reversal of 102711330000 is 33117201.

It is a tau number, because it is divible by the number of its divisors (900).

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 179 ways as a sum of consecutive naturals, for example, 1740869971 + ... + 1740870029.

Almost surely, 2^102711330000 is an apocalyptic number.

102711330000 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 102711330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197381630160).

102711330000 is an abundant number, since it is smaller than the sum of its proper divisors (292051930320).

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

102711330000 is a wasteful number, since it uses less digits than its factorization.

102711330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 102711330000 its reverse (33117201), we get a palindrome (102744447201).

The spelling of 102711330000 in words is "one hundred two billion, seven hundred eleven million, three hundred thirty thousand".