221012122111000 has 256 divisors, whose sum is σ = 587355855465600. Its totient is φ = 77102468352000.

The previous prime is 221012122110991. The next prime is 221012122111013. The reversal of 221012122111000 is 111221210122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47876542 + ... + 52289458.

Almost surely, 2^{221012122111000} is an apocalyptic number.

221012122111000 is a gapful number since it is divisible by the number (20) 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 221012122111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293677927732800).

221012122111000 is an abundant number, since it is smaller than the sum of its proper divisors (366343733354600).

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

221012122111000 is a wasteful number, since it uses less digits than its factorization.

221012122111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413135 (or 4413121 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221012122111000 its reverse (111221210122), we get a palindrome (221123343321122).

The spelling of 221012122111000 in words is "two hundred twenty-one trillion, twelve billion, one hundred twenty-two million, one hundred eleven thousand".