21122168100 has 72 divisors (see below), whose sum is σ = 66669253728. Its totient is φ = 5120524800.

The previous prime is 21122168063. The next prime is 21122168117. The reversal of 21122168100 is 186122112.

It is a super-3 number, since 3×21122168100³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 3197029 + ... + 3203628.

Almost surely, 2^21122168100 is an apocalyptic number.

21122168100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122168100 is an abundant number, since it is smaller than the sum of its proper divisors (45547085628).

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

21122168100 is a wasteful number, since it uses less digits than its factorization.

21122168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400685 (or 6400678 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 21122168100 in words is "twenty-one billion, one hundred twenty-two million, one hundred sixty-eight thousand, one hundred".