100221312012 has 12 divisors (see below), whose sum is σ = 233849728056. Its totient is φ = 33407104000.

The previous prime is 100221311999. The next prime is 100221312017. The reversal of 100221312012 is 210213122001.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×100221312012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221311982 and 100221312000.

It is not an unprimeable number, because it can be changed into a prime (100221312017) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4175887989 + ... + 4175888012.

It is an arithmetic number, because the mean of its divisors is an integer number (19487477338).

Almost surely, 2^100221312012 is an apocalyptic number.

100221312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100221312012 is an abundant number, since it is smaller than the sum of its proper divisors (133628416044).

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

100221312012 is a wasteful number, since it uses less digits than its factorization.

100221312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351776008 (or 8351776006 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100221312012 its reverse (210213122001), we get a palindrome (310434434013).

The spelling of 100221312012 in words is "one hundred billion, two hundred twenty-one million, three hundred twelve thousand, twelve".