100221201011112 has 32 divisors (see below), whose sum is σ = 251408132246880. Its totient is φ = 33293049707840.

The previous prime is 100221201011077. The next prime is 100221201011117. The reversal of 100221201011112 is 211110102122001.

It is a happy number.

It is a super-2 number, since 2×100221201011112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221201011091 and 100221201011100.

It is not an unprimeable number, because it can be changed into a prime (100221201011117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7126073814 + ... + 7126087877.

It is an arithmetic number, because the mean of its divisors is an integer number (7856504132715).

Almost surely, 2^{100221201011112} is an apocalyptic number.

100221201011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221201011112 is an abundant number, since it is smaller than the sum of its proper divisors (151186931235768).

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

100221201011112 is a wasteful number, since it uses less digits than its factorization.

100221201011112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14252161993 (or 14252161989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100221201011112 its reverse (211110102122001), we get a palindrome (311331303133113).

The spelling of 100221201011112 in words is "one hundred trillion, two hundred twenty-one billion, two hundred one million, eleven thousand, one hundred twelve".