11234100310000 has 200 divisors, whose sum is σ = 28819618082640. Its totient is φ = 4226253312000.

The previous prime is 11234100309967. The next prime is 11234100310021. The reversal of 11234100310000 is 1300143211.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11234100310000² (a number of 27 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 242566846 + ... + 242613154.

Almost surely, 2^{11234100310000} is an apocalyptic number.

11234100310000 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 11234100310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409809041320).

11234100310000 is an abundant number, since it is smaller than the sum of its proper divisors (17585517772640).

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

11234100310000 is a wasteful number, since it uses less digits than its factorization.

11234100310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47781 (or 47760 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11234100310000 its reverse (1300143211), we get a palindrome (11235400453211).

The spelling of 11234100310000 in words is "eleven trillion, two hundred thirty-four billion, one hundred million, three hundred ten thousand".