101103113312 has 96 divisors (see below), whose sum is σ = 211276283904. Its totient is φ = 47541081600.

The previous prime is 101103113249. The next prime is 101103113323. The reversal of 101103113312 is 213311301101.

It is a super-2 number, since 2×101103113312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55458833 + ... + 55460655.

It is an arithmetic number, because the mean of its divisors is an integer number (2200794624).

Almost surely, 2^101103113312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101103113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105638141952).

101103113312 is an abundant number, since it is smaller than the sum of its proper divisors (110173170592).

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

101103113312 is a wasteful number, since it uses less digits than its factorization.

101103113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101103113312 its reverse (213311301101), we get a palindrome (314414414413).

The spelling of 101103113312 in words is "one hundred one billion, one hundred three million, one hundred thirteen thousand, three hundred twelve".