100112121012 has 24 divisors (see below), whose sum is σ = 233602893216. Its totient is φ = 33369572128.

The previous prime is 100112121001. The next prime is 100112121017. The reversal of 100112121012 is 210121211001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112121017) 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, 274603 + ... + 525005.

It is an arithmetic number, because the mean of its divisors is an integer number (9733453884).

Almost surely, 2^100112121012 is an apocalyptic number.

100112121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100112121012 is an abundant number, since it is smaller than the sum of its proper divisors (133490772204).

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

100112121012 is a wasteful number, since it uses less digits than its factorization.

100112121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283727 (or 283725 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100112121012 its reverse (210121211001), we get a palindrome (310233332013).

The spelling of 100112121012 in words is "one hundred billion, one hundred twelve million, one hundred twenty-one thousand, twelve".