100213221012 has 24 divisors (see below), whose sum is σ = 234216089856. Its totient is φ = 33349372608.

The previous prime is 100213221011. The next prime is 100213221037. The reversal of 100213221012 is 210122312001.

It is a super-3 number, since 3×100213221012³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100213220982 and 100213221000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213221011) 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, 6871713 + ... + 6886280.

It is an arithmetic number, because the mean of its divisors is an integer number (9759003744).

Almost surely, 2^100213221012 is an apocalyptic number.

100213221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100213221012 is an abundant number, since it is smaller than the sum of its proper divisors (134002868844).

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

100213221012 is a wasteful number, since it uses less digits than its factorization.

100213221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13758607 (or 13758605 counting only the distinct ones).

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

Adding to 100213221012 its reverse (210122312001), we get a palindrome (310335533013).

The spelling of 100213221012 in words is "one hundred billion, two hundred thirteen million, two hundred twenty-one thousand, twelve".