100321200023112 has 128 divisors (see below), whose sum is σ = 281597637283200. Its totient is φ = 33089217638400.

The previous prime is 100321200023081. The next prime is 100321200023117. The reversal of 100321200023112 is 211320002123001.

100321200023112 is a `hidden beast` number, since 10 + 0 + 321 + 20 + 0 + 0 + 2 + 311 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (100321200023117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107879812 + ... + 108805772.

It is an arithmetic number, because the mean of its divisors is an integer number (2199981541275).

Almost surely, 2^{100321200023112} is an apocalyptic number.

100321200023112 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 100321200023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140798818641600).

100321200023112 is an abundant number, since it is smaller than the sum of its proper divisors (181276437260088).

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

100321200023112 is a wasteful number, since it uses less digits than its factorization.

100321200023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931244 (or 931234 counting only the distinct ones).

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

Adding to 100321200023112 its reverse (211320002123001), we get a palindrome (311641202146113).

The spelling of 100321200023112 in words is "one hundred trillion, three hundred twenty-one billion, two hundred million, twenty-three thousand, one hundred twelve".