100221213012 has 96 divisors (see below), whose sum is σ = 250326236160. Its totient is φ = 31132147200.

The previous prime is 100221212981. The next prime is 100221213031. The reversal of 100221213012 is 210312122001.

It is a super-2 number, since 2×100221213012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100221212982 and 100221213000.

It is a congruent number.

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, 4748539 + ... + 4769597.

It is an arithmetic number, because the mean of its divisors is an integer number (2607564960).

Almost surely, 2^100221213012 is an apocalyptic number.

100221213012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100221213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125163118080).

100221213012 is an abundant number, since it is smaller than the sum of its proper divisors (150105023148).

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

100221213012 is a wasteful number, since it uses less digits than its factorization.

100221213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21533 (or 21531 counting only the distinct ones).

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

Adding to 100221213012 its reverse (210312122001), we get a palindrome (310533335013).

The spelling of 100221213012 in words is "one hundred billion, two hundred twenty-one million, two hundred thirteen thousand, twelve".