101111111010012 has 24 divisors (see below), whose sum is σ = 244061302438800. Its totient is φ = 32541506991616.

The previous prime is 101111111009971. The next prime is 101111111010023. The reversal of 101111111010012 is 210010111111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101111111010012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145274584437 + ... + 145274585132.

It is an arithmetic number, because the mean of its divisors is an integer number (10169220934950).

Almost surely, 2^{101111111010012} is an apocalyptic number.

101111111010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101111111010012 is an abundant number, since it is smaller than the sum of its proper divisors (142950191428788).

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

101111111010012 is a wasteful number, since it uses less digits than its factorization.

101111111010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290549169605 (or 290549169603 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101111111010012 its reverse (210010111111101), we get a palindrome (311121222121113).

The spelling of 101111111010012 in words is "one hundred one trillion, one hundred eleven billion, one hundred eleven million, ten thousand, twelve".