110101133212312 has 128 divisors (see below), whose sum is σ = 228267363340800. Its totient is φ = 49368558412800.

The previous prime is 110101133212271. The next prime is 110101133212313. The reversal of 110101133212312 is 213212331101011.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101133212313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14447067862 + ... + 14447075482.

It is an arithmetic number, because the mean of its divisors is an integer number (1783338776100).

Almost surely, 2^{110101133212312} 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 110101133212312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114133681670400).

110101133212312 is an abundant number, since it is smaller than the sum of its proper divisors (118166230128488).

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

110101133212312 is a wasteful number, since it uses less digits than its factorization.

110101133212312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11777 (or 11773 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 110101133212312 its reverse (213212331101011), we get a palindrome (323313464313323).

The spelling of 110101133212312 in words is "one hundred ten trillion, one hundred one billion, one hundred thirty-three million, two hundred twelve thousand, three hundred twelve".