101112111000208 has 120 divisors (see below), whose sum is σ = 248639214241440. Its totient is φ = 39389121999360.

The previous prime is 101112111000193. The next prime is 101112111000239. The reversal of 101112111000208 is 802000111211101.

It is a happy 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, 64797228 + ... + 66339316.

It is an arithmetic number, because the mean of its divisors is an integer number (2071993452012).

Almost surely, 2^{101112111000208} 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 101112111000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124319607120720).

101112111000208 is an abundant number, since it is smaller than the sum of its proper divisors (147527103241232).

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

101112111000208 is a wasteful number, since it uses less digits than its factorization.

101112111000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549725 (or 1549712 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 101112111000208 its reverse (802000111211101), we get a palindrome (903112222211309).

The spelling of 101112111000208 in words is "one hundred one trillion, one hundred twelve billion, one hundred eleven million, two hundred eight", and thus it is an aban number.