101113220012 has 48 divisors (see below), whose sum is σ = 206126690112. Its totient is φ = 42499142400.

The previous prime is 101113219993. The next prime is 101113220017. The reversal of 101113220012 is 210022311101.

It is a super-2 number, since 2×101113220012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101113220017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3983762 + ... + 4009062.

It is an arithmetic number, because the mean of its divisors is an integer number (4294306044).

Almost surely, 2^101113220012 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 101113220012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103063345056).

101113220012 is an abundant number, since it is smaller than the sum of its proper divisors (105013470100).

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

101113220012 is a wasteful number, since it uses less digits than its factorization.

101113220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28058 (or 28056 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101113220012 its reverse (210022311101), we get a palindrome (311135531113).

The spelling of 101113220012 in words is "one hundred one billion, one hundred thirteen million, two hundred twenty thousand, twelve".