221211022001000 has 64 divisors (see below), whose sum is σ = 524186118144000. Its totient is φ = 87364352961600.

The previous prime is 221211022000973. The next prime is 221211022001017. The reversal of 221211022001000 is 100220112122.

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 15 ways as a sum of consecutive naturals, for example, 1399990760 + ... + 1400148759.

It is an arithmetic number, because the mean of its divisors is an integer number (8190408096000).

Almost surely, 2^{221211022001000} is an apocalyptic number.

221211022001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211022001000 is an abundant number, since it is smaller than the sum of its proper divisors (302975096143000).

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

221211022001000 is a wasteful number, since it uses less digits than its factorization.

221211022001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800139619 (or 2800139605 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221211022001000 its reverse (100220112122), we get a palindrome (221311242113122).

The spelling of 221211022001000 in words is "two hundred twenty-one trillion, two hundred eleven billion, twenty-two million, one thousand".