101109012 has 48 divisors (see below), whose sum is σ = 252857472. Its totient is φ = 31363200.

The previous prime is 101108999. The next prime is 101109037. The reversal of 101109012 is 210901101.

It is a super-2 number, since 2×101109012² = 20446064615232288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101108982 and 101109000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5262 + ... + 15162.

It is an arithmetic number, because the mean of its divisors is an integer number (5267864).

Almost surely, 2^101109012 is an apocalyptic number.

101109012 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 101109012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126428736).

101109012 is an abundant number, since it is smaller than the sum of its proper divisors (151748460).

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

101109012 is a wasteful number, since it uses less digits than its factorization.

101109012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

The square root of 101109012 is about 10055.2977081735. The cubic root of 101109012 is about 465.8684383654.

The spelling of 101109012 in words is "one hundred one million, one hundred nine thousand, twelve".