10114102242000 has 120 divisors (see below), whose sum is σ = 35325187826760. Its totient is φ = 2697093926400.

The previous prime is 10114102241959. The next prime is 10114102242029. The reversal of 10114102242000 is 24220141101.

10114102242000 is a `hidden beast` number, since 1 + 0 + 11 + 410 + 2 + 242 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 904309706304 + 9209792535696 = 950952^2 + 3034764^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280929285 + ... + 280965284.

It is an arithmetic number, because the mean of its divisors is an integer number (294376565223).

Almost surely, 2^{10114102242000} is an apocalyptic number.

10114102242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114102242000 is an abundant number, since it is smaller than the sum of its proper divisors (25211085584760).

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

10114102242000 is a wasteful number, since it uses less digits than its factorization.

10114102242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561894598 (or 561894579 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10114102242000 its reverse (24220141101), we get a palindrome (10138322383101).

The spelling of 10114102242000 in words is "ten trillion, one hundred fourteen billion, one hundred two million, two hundred forty-two thousand".