100101113112 has 256 divisors, whose sum is σ = 339786316800. Its totient is φ = 23730094080.

The previous prime is 100101113089. The next prime is 100101113137. The reversal of 100101113112 is 211311101001.

It is a super-2 number, since 2×100101113112² (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2114728 + ... + 2161544.

It is an arithmetic number, because the mean of its divisors is an integer number (1327290300).

Almost surely, 2^100101113112 is an apocalyptic number.

100101113112 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 100101113112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169893158400).

100101113112 is an abundant number, since it is smaller than the sum of its proper divisors (239685203688).

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

100101113112 is a wasteful number, since it uses less digits than its factorization.

100101113112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46946 (or 46942 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100101113112 its reverse (211311101001), we get a palindrome (311412214113).

The spelling of 100101113112 in words is "one hundred billion, one hundred one million, one hundred thirteen thousand, one hundred twelve".