100020031112232 has 576 divisors, whose sum is σ = 364471815576960. Its totient is φ = 23989635072000.

The previous prime is 100020031112227. The next prime is 100020031112293. The reversal of 100020031112232 is 232211130020001.

100020031112232 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 200 + 311 + 122 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 264553732 + ... + 264931532.

It is an arithmetic number, because the mean of its divisors is an integer number (632763568710).

Almost surely, 2^{100020031112232} is an apocalyptic number.

100020031112232 is a gapful number since it is divisible by the number (12) 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 100020031112232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182235907788480).

100020031112232 is an abundant number, since it is smaller than the sum of its proper divisors (264451784464728).

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

100020031112232 is a wasteful number, since it uses less digits than its factorization.

100020031112232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377954 (or 377894 counting only the distinct ones).

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

Adding to 100020031112232 its reverse (232211130020001), we get a palindrome (332231161132233).

The spelling of 100020031112232 in words is "one hundred trillion, twenty billion, thirty-one million, one hundred twelve thousand, two hundred thirty-two".