101110001001012 has 36 divisors (see below), whose sum is σ = 266695944671520. Its totient is φ = 32237971333392.

The previous prime is 101110001000977. The next prime is 101110001001017. The reversal of 101110001001012 is 210100100011101.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 101110001000985 and 101110001001003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110001001017) 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 11 ways as a sum of consecutive naturals, for example, 61056763062 + ... + 61056764717.

It is an arithmetic number, because the mean of its divisors is an integer number (7408220685320).

Almost surely, 2^{101110001001012} is an apocalyptic number.

101110001001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101110001001012 is an abundant number, since it is smaller than the sum of its proper divisors (165585943670508).

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

101110001001012 is a wasteful number, since it uses less digits than its factorization.

101110001001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122113527812 (or 122113527807 counting only the distinct ones).

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

Adding to 101110001001012 its reverse (210100100011101), we get a palindrome (311210101012113).

The spelling of 101110001001012 in words is "one hundred one trillion, one hundred ten billion, one million, one thousand, twelve".