102578112000000 has 4368 divisors, whose sum is σ = 484491448430080. Its totient is φ = 20304691200000.

The previous prime is 102578111999999. The next prime is 102578112000011. The reversal of 102578112000000 is 211875201.

It is a tau number, because it is divible by the number of its divisors (4368).

It is a super-2 number, since 2×102578112000000² (a number of 29 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 335 ways as a sum of consecutive naturals, for example, 995903999949 + ... + 995904000051.

Almost surely, 2^{102578112000000} is an apocalyptic number.

102578112000000 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 102578112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242245724215040).

102578112000000 is an abundant number, since it is smaller than the sum of its proper divisors (381913336430080).

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

102578112000000 is an equidigital number, since it uses as much as digits as its factorization.

102578112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 102578112000000 its reverse (211875201), we get a palindrome (102578323875201).

The spelling of 102578112000000 in words is "one hundred two trillion, five hundred seventy-eight billion, one hundred twelve million", and thus it is an aban number.