100031123212000 has 48 divisors (see below), whose sum is σ = 245776469741712. Its totient is φ = 40012449283200.

The previous prime is 100031123211997. The next prime is 100031123212003. The reversal of 100031123212000 is 212321130001.

It is an interprime number because it is at equal distance from previous prime (100031123211997) and next prime (100031123212003).

It is a super-2 number, since 2×100031123212000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100031123212003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12503886402 + ... + 12503894401.

It is an arithmetic number, because the mean of its divisors is an integer number (5120343119619).

Almost surely, 2^{100031123212000} is an apocalyptic number.

100031123212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100031123212000 is an abundant number, since it is smaller than the sum of its proper divisors (145745346529712).

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

100031123212000 is an equidigital number, since it uses as much as digits as its factorization.

100031123212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25007780828 (or 25007780810 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100031123212000 its reverse (212321130001), we get a palindrome (100243444342001).

The spelling of 100031123212000 in words is "one hundred trillion, thirty-one billion, one hundred twenty-three million, two hundred twelve thousand".