101011000112 has 80 divisors (see below), whose sum is σ = 228298271904. Its totient is φ = 42785280000.

The previous prime is 101010999997. The next prime is 101011000133. The reversal of 101011000112 is 211000110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101011000112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135062 + ... + 469322.

Almost surely, 2^101011000112 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 101011000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114149135952).

101011000112 is an abundant number, since it is smaller than the sum of its proper divisors (127287271792).

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

101011000112 is a wasteful number, since it uses less digits than its factorization.

101011000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334398 (or 334392 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101011000112 its reverse (211000110101), we get a palindrome (312011110213).

The spelling of 101011000112 in words is "one hundred one billion, eleven million, one hundred twelve", and thus it is an aban number.