231142243110100 has 288 divisors, whose sum is σ = 586240478208000. Its totient is φ = 79071617520000.

The previous prime is 231142243110043. The next prime is 231142243110101. The reversal of 231142243110100 is 1011342241132.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231142243110101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33976513299 + ... + 33976520101.

It is an arithmetic number, because the mean of its divisors is an integer number (2035557216000).

Almost surely, 2^{231142243110100} is an apocalyptic number.

231142243110100 is a gapful number since it is divisible by the number (20) 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 231142243110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293120239104000).

231142243110100 is an abundant number, since it is smaller than the sum of its proper divisors (355098235097900).

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

231142243110100 is a wasteful number, since it uses less digits than its factorization.

231142243110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908 (or 8887 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 231142243110100 its reverse (1011342241132), we get a palindrome (232153585351232).

The spelling of 231142243110100 in words is "two hundred thirty-one trillion, one hundred forty-two billion, two hundred forty-three million, one hundred ten thousand, one hundred".