101001110111712 has 144 divisors (see below), whose sum is σ = 287382161364480. Its totient is φ = 33648257260800.

The previous prime is 101001110111711. The next prime is 101001110111749. The reversal of 101001110111712 is 217111011100101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001110111711) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8574670239 + ... + 8574682017.

It is an arithmetic number, because the mean of its divisors is an integer number (1995709453920).

Almost surely, 2^{101001110111712} is an apocalyptic number.

101001110111712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001110111712 is an abundant number, since it is smaller than the sum of its proper divisors (186381051252768).

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

101001110111712 is a wasteful number, since it uses less digits than its factorization.

101001110111712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25877 (or 25866 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 18.

Adding to 101001110111712 its reverse (217111011100101), we get a palindrome (318112121211813).

The spelling of 101001110111712 in words is "one hundred one trillion, one billion, one hundred ten million, one hundred eleven thousand, seven hundred twelve".