100221102101112 has 64 divisors (see below), whose sum is σ = 252265827340800. Its totient is φ = 33179400013440.

The previous prime is 100221102101069. The next prime is 100221102101123. The reversal of 100221102101112 is 211101201122001.

It is a happy number.

It is a super-2 number, since 2×100221102101112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221102101091 and 100221102101100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22169412 + ... + 26304467.

It is an arithmetic number, because the mean of its divisors is an integer number (3941653552200).

Almost surely, 2^{100221102101112} is an apocalyptic number.

100221102101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221102101112 is an abundant number, since it is smaller than the sum of its proper divisors (152044725239688).

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

100221102101112 is a wasteful number, since it uses less digits than its factorization.

100221102101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48474476 (or 48474472 counting only the distinct ones).

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

Adding to 100221102101112 its reverse (211101201122001), we get a palindrome (311322303223113).

The spelling of 100221102101112 in words is "one hundred trillion, two hundred twenty-one billion, one hundred two million, one hundred one thousand, one hundred twelve".