100012121112 has 32 divisors (see below), whose sum is σ = 263189793600. Its totient is φ = 31582774944.

The previous prime is 100012121071. The next prime is 100012121173. The reversal of 100012121112 is 211121210001.

It is a super-2 number, since 2×100012121112² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109661958 + ... + 109662869.

It is an arithmetic number, because the mean of its divisors is an integer number (8224681050).

Almost surely, 2^100012121112 is an apocalyptic number.

100012121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100012121112 is an abundant number, since it is smaller than the sum of its proper divisors (163177672488).

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

100012121112 is a wasteful number, since it uses less digits than its factorization.

100012121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219324855 (or 219324851 counting only the distinct ones).

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

Adding to 100012121112 its reverse (211121210001), we get a palindrome (311133331113).

The spelling of 100012121112 in words is "one hundred billion, twelve million, one hundred twenty-one thousand, one hundred twelve".