114102410410000 has 100 divisors (see below), whose sum is σ = 283719653408092. Its totient is φ = 44407424448000.

The previous prime is 114102410409997. The next prime is 114102410410031. The reversal of 114102410410000 is 14014201411.

It can be written as a sum of positive squares in 10 ways, for example, as 63152965309456 + 50949445100544 = 7946884^2 + 7137888^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×114102410410000² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114102410410000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 153822447 + ... + 154562446.

Almost surely, 2^{114102410410000} is an apocalyptic number.

114102410410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114102410410000 is an abundant number, since it is smaller than the sum of its proper divisors (169617242998092).

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

114102410410000 is an equidigital number, since it uses as much as digits as its factorization.

114102410410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308384958 (or 308384937 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 114102410410000 its reverse (14014201411), we get a palindrome (114116424611411).

The spelling of 114102410410000 in words is "one hundred fourteen trillion, one hundred two billion, four hundred ten million, four hundred ten thousand".