100012231031000 has 256 divisors, whose sum is σ = 250171272299520. Its totient is φ = 37361226240000.

The previous prime is 100012231030981. The next prime is 100012231031003. The reversal of 100012231031000 is 130132210001.

It is a super-2 number, since 2×100012231031000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012231031003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99724052 + ... + 100721948.

It is an arithmetic number, because the mean of its divisors is an integer number (977231532420).

Almost surely, 2^{100012231031000} is an apocalyptic number.

100012231031000 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 100012231031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125085636149760).

100012231031000 is an abundant number, since it is smaller than the sum of its proper divisors (150159041268520).

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

100012231031000 is a wasteful number, since it uses less digits than its factorization.

100012231031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998063 (or 998049 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100012231031000 its reverse (130132210001), we get a palindrome (100142363241001).

The spelling of 100012231031000 in words is "one hundred trillion, twelve billion, two hundred thirty-one million, thirty-one thousand".