10233111032400 has 180 divisors, whose sum is σ = 33248279085056. Its totient is φ = 2690393798400.

The previous prime is 10233111032297. The next prime is 10233111032429. The reversal of 10233111032400 is 423011133201.

It is a super-2 number, since 2×10233111032400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5203377 + ... + 6895023.

Almost surely, 2^{10233111032400} is an apocalyptic number.

10233111032400 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 10233111032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16624139542528).

10233111032400 is an abundant number, since it is smaller than the sum of its proper divisors (23015168052656).

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

10233111032400 is a wasteful number, since it uses less digits than its factorization.

10233111032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691810 (or 1691728 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10233111032400 its reverse (423011133201), we get a palindrome (10656122165601).

The spelling of 10233111032400 in words is "ten trillion, two hundred thirty-three billion, one hundred eleven million, thirty-two thousand, four hundred".