101241101112 has 64 divisors (see below), whose sum is σ = 260218306080. Its totient is φ = 32800223232.

The previous prime is 101241101083. The next prime is 101241101173. The reversal of 101241101112 is 211101142101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101241101091 and 101241101100.

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, 786448 + ... + 906080.

Almost surely, 2^101241101112 is an apocalyptic number.

101241101112 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 101241101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130109153040).

101241101112 is an abundant number, since it is smaller than the sum of its proper divisors (158977204968).

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

101241101112 is a wasteful number, since it uses less digits than its factorization.

101241101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120632 (or 120628 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101241101112 its reverse (211101142101), we get a palindrome (312342243213).

The spelling of 101241101112 in words is "one hundred one billion, two hundred forty-one million, one hundred one thousand, one hundred twelve".