100100201112 has 96 divisors (see below), whose sum is σ = 281835262800. Its totient is φ = 33284888064.

The previous prime is 100100201053. The next prime is 100100201137. The reversal of 100100201112 is 211102001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100100201094 and 100100201103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 732148 + ... + 858044.

Almost surely, 2^100100201112 is an apocalyptic number.

100100201112 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 100100201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140917631400).

100100201112 is an abundant number, since it is smaller than the sum of its proper divisors (181735061688).

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

100100201112 is a wasteful number, since it uses less digits than its factorization.

100100201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126327 (or 126311 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100201112 its reverse (211102001001), we get a palindrome (311202202113).

The spelling of 100100201112 in words is "one hundred billion, one hundred million, two hundred one thousand, one hundred twelve".