102111115300 has 72 divisors (see below), whose sum is σ = 227510813376. Its totient is φ = 39757925760.

The previous prime is 102111115297. The next prime is 102111115331. The reversal of 102111115300 is 3511111201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219377 + ... + 1300423.

It is an arithmetic number, because the mean of its divisors is an integer number (3159872408).

Almost surely, 2^102111115300 is an apocalyptic number.

102111115300 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 102111115300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113755406688).

102111115300 is an abundant number, since it is smaller than the sum of its proper divisors (125399698076).

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

102111115300 is a wasteful number, since it uses less digits than its factorization.

102111115300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81397 (or 81390 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 102111115300 its reverse (3511111201), we get a palindrome (105622226501).

The spelling of 102111115300 in words is "one hundred two billion, one hundred eleven million, one hundred fifteen thousand, three hundred".