10231232101200 has 2160 divisors, whose sum is σ = 41643757628928. Its totient is φ = 2321104896000.

The previous prime is 10231232101151. The next prime is 10231232101213. The reversal of 10231232101200 is 210123213201.

10231232101200 is a `hidden beast` number, since 1 + 0 + 231 + 23 + 210 + 1 + 200 = 666.

It is a super-2 number, since 2×10231232101200² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 95618991547 + ... + 95618991653.

Almost surely, 2^{10231232101200} is an apocalyptic number.

10231232101200 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 10231232101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20821878814464).

10231232101200 is an abundant number, since it is smaller than the sum of its proper divisors (31412525527728).

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

10231232101200 is a wasteful number, since it uses less digits than its factorization.

10231232101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10231232101200 its reverse (210123213201), we get a palindrome (10441355314401).

The spelling of 10231232101200 in words is "ten trillion, two hundred thirty-one billion, two hundred thirty-two million, one hundred one thousand, two hundred".