100212133221 has 48 divisors (see below), whose sum is σ = 150359214720. Its totient is φ = 64263507840.

The previous prime is 100212133207. The next prime is 100212133253. The reversal of 100212133221 is 122331212001.

100212133221 is a `hidden beast` number, since 100 + 212 + 1 + 332 + 21 = 666.

It is not a de Polignac number, because 100212133221 - 2⁶ = 100212133157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212133194 and 100212133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212133321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17819016 + ... + 17824638.

It is an arithmetic number, because the mean of its divisors is an integer number (3132483640).

Almost surely, 2^100212133221 is an apocalyptic number.

It is an amenable number.

100212133221 is a deficient number, since it is larger than the sum of its proper divisors (50147081499).

100212133221 is a wasteful number, since it uses less digits than its factorization.

100212133221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6266 (or 6263 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100212133221 its reverse (122331212001), we get a palindrome (222543345222).

The spelling of 100212133221 in words is "one hundred billion, two hundred twelve million, one hundred thirty-three thousand, two hundred twenty-one".