101001220112 has 80 divisors (see below), whose sum is σ = 216764959488. Its totient is φ = 45295165440.

The previous prime is 101001220109. The next prime is 101001220163. The reversal of 101001220112 is 211022100101.

101001220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101001220112² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101001220093 and 101001220102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696937 + ... + 1755447.

Almost surely, 2^101001220112 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 101001220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108382479744).

101001220112 is an abundant number, since it is smaller than the sum of its proper divisors (115763739376).

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

101001220112 is a wasteful number, since it uses less digits than its factorization.

101001220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58768 (or 58762 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101001220112 its reverse (211022100101), we get a palindrome (312023320213).

The spelling of 101001220112 in words is "one hundred one billion, one million, two hundred twenty thousand, one hundred twelve".