100221310112 has 192 divisors, whose sum is σ = 249703824384. Its totient is φ = 38461962240.

The previous prime is 100221310061. The next prime is 100221310157. The reversal of 100221310112 is 211013122001.

It is a super-2 number, since 2×100221310112² (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 an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 106959308 + ... + 106960244.

It is an arithmetic number, because the mean of its divisors is an integer number (1300540752).

Almost surely, 2^100221310112 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 100221310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124851912192).

100221310112 is an abundant number, since it is smaller than the sum of its proper divisors (149482514272).

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

100221310112 is a wasteful number, since it uses less digits than its factorization.

100221310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1563 counting only the distinct ones).

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

Adding to 100221310112 its reverse (211013122001), we get a palindrome (311234432113).

The spelling of 100221310112 in words is "one hundred billion, two hundred twenty-one million, three hundred ten thousand, one hundred twelve".