114010152142200 has 96 divisors (see below), whose sum is σ = 354002444476800. Its totient is φ = 30353591295360.

The previous prime is 114010152142189. The next prime is 114010152142253. The reversal of 114010152142200 is 2241251010411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153115612 + ... + 153858411.

It is an arithmetic number, because the mean of its divisors is an integer number (3687525463300).

Almost surely, 2^{114010152142200} is an apocalyptic number.

114010152142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114010152142200 is an abundant number, since it is smaller than the sum of its proper divisors (239992292334600).

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

114010152142200 is a wasteful number, since it uses less digits than its factorization.

114010152142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306974661 (or 306974652 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The spelling of 114010152142200 in words is "one hundred fourteen trillion, ten billion, one hundred fifty-two million, one hundred forty-two thousand, two hundred".