10234114310000 has 400 divisors, whose sum is σ = 28604358275328. Its totient is φ = 3473433600000.

The previous prime is 10234114309981. The next prime is 10234114310029. The reversal of 10234114310000 is 1341143201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×10234114310000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4502468864 + ... + 4502471136.

Almost surely, 2^{10234114310000} is an apocalyptic number.

10234114310000 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 10234114310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14302179137664).

10234114310000 is an abundant number, since it is smaller than the sum of its proper divisors (18370243965328).

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

10234114310000 is a wasteful number, since it uses less digits than its factorization.

10234114310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10234114310000 its reverse (1341143201), we get a palindrome (10235455453201).

The spelling of 10234114310000 in words is "ten trillion, two hundred thirty-four billion, one hundred fourteen million, three hundred ten thousand".