101011000001112 has 48 divisors (see below), whose sum is σ = 285465869573040. Its totient is φ = 32206405796928.

The previous prime is 101011000001081. The next prime is 101011000001123. The reversal of 101011000001112 is 211100000110101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101011000001094 and 101011000001103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30498488683 + ... + 30498491994.

It is an arithmetic number, because the mean of its divisors is an integer number (5947205616105).

Almost surely, 2^{101011000001112} is an apocalyptic number.

101011000001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011000001112 is an abundant number, since it is smaller than the sum of its proper divisors (184454869571928).

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

101011000001112 is a wasteful number, since it uses less digits than its factorization.

101011000001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60996980712 (or 60996980705 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101011000001112 its reverse (211100000110101), we get a palindrome (312111000111213).

The spelling of 101011000001112 in words is "one hundred one trillion, eleven billion, one thousand, one hundred twelve".