102112414000000 has 448 divisors, whose sum is σ = 261039521151360. Its totient is φ = 39772800000000.

The previous prime is 102112413999997. The next prime is 102112414000021. The reversal of 102112414000000 is 414211201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12321995857 + ... + 12322004143.

It is an arithmetic number, because the mean of its divisors is an integer number (582677502570).

Almost surely, 2^{102112414000000} is an apocalyptic number.

102112414000000 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 102112414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130519760575680).

102112414000000 is an abundant number, since it is smaller than the sum of its proper divisors (158927107151360).

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

102112414000000 is an frugal number, since it uses more digits than its factorization.

102112414000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8493 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102112414000000 its reverse (414211201), we get a palindrome (102112828211201).

It can be divided in two parts, 10211241 and 4000000, that added together give a palindrome (14211241).

The spelling of 102112414000000 in words is "one hundred two trillion, one hundred twelve billion, four hundred fourteen million", and thus it is an aban number.