100012112000 has 128 divisors (see below), whose sum is σ = 248971881600. Its totient is φ = 39953894400.

The previous prime is 100012111981. The next prime is 100012112009. The reversal of 100012112000 is 211210001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (100012112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14124461 + ... + 14131539.

It is an arithmetic number, because the mean of its divisors is an integer number (1945092825).

Almost surely, 2^100012112000 is an apocalyptic number.

100012112000 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 100012112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124485940800).

100012112000 is an abundant number, since it is smaller than the sum of its proper divisors (148959769600).

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

100012112000 is an frugal number, since it uses more digits than its factorization.

100012112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7991 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100012112000 its reverse (211210001), we get a palindrome (100223322001).

The spelling of 100012112000 in words is "one hundred billion, twelve million, one hundred twelve thousand".