100101101112 has 96 divisors (see below), whose sum is σ = 277531254000. Its totient is φ = 32577043968.

The previous prime is 100101101059. The next prime is 100101101117. The reversal of 100101101112 is 211101101001.

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 = 100101101094 and 100101101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101101117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9137014 + ... + 9147962.

Almost surely, 2^100101101112 is an apocalyptic number.

100101101112 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 100101101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138765627000).

100101101112 is an abundant number, since it is smaller than the sum of its proper divisors (177430152888).

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

100101101112 is a wasteful number, since it uses less digits than its factorization.

100101101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13957 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100101101112 its reverse (211101101001), we get a palindrome (311202202113).

The spelling of 100101101112 in words is "one hundred billion, one hundred one million, one hundred one thousand, one hundred twelve".