10201234344000 has 2240 divisors, whose sum is σ = 42192751011840. Its totient is φ = 2166293606400.

The previous prime is 10201234343981. The next prime is 10201234344011. The reversal of 10201234344000 is 44343210201.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×10201234344000² (a number of 27 digits) contains 22 as substring.

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 319 ways as a sum of consecutive naturals, for example, 56990135911 + ... + 56990136089.

Almost surely, 2^{10201234344000} is an apocalyptic number.

10201234344000 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 10201234344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21096375505920).

10201234344000 is an abundant number, since it is smaller than the sum of its proper divisors (31991516667840).

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

10201234344000 is an equidigital number, since it uses as much as digits as its factorization.

10201234344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10201234344000 its reverse (44343210201), we get a palindrome (10245577554201).

The spelling of 10201234344000 in words is "ten trillion, two hundred one billion, two hundred thirty-four million, three hundred forty-four thousand".