100012011112 has 24 divisors (see below), whose sum is σ = 203056933590. Its totient is φ = 46159389120.

The previous prime is 100012011059. The next prime is 100012011119. The reversal of 100012011112 is 211110210001.

It can be written as a sum of positive squares in 3 ways, for example, as 81998613316 + 18013397796 = 286354^2 + 134214^2 .

It is a super-2 number, since 2×100012011112² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100012011119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36985339 + ... + 36988042.

Almost surely, 2^100012011112 is an apocalyptic number.

It is an amenable number.

100012011112 is an abundant number, since it is smaller than the sum of its proper divisors (103044922478).

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

100012011112 is a wasteful number, since it uses less digits than its factorization.

100012011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73973413 (or 73973396 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100012011112 its reverse (211110210001), we get a palindrome (311122221113).

The spelling of 100012011112 in words is "one hundred billion, twelve million, eleven thousand, one hundred twelve".