221121211002000 has 320 divisors, whose sum is σ = 732327411688704. Its totient is φ = 57359044915200.

The previous prime is 221121211001959. The next prime is 221121211002049. The reversal of 221121211002000 is 200112121122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1003995892 + ... + 1004216108.

Almost surely, 2^{221121211002000} is an apocalyptic number.

221121211002000 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 221121211002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366163705844352).

221121211002000 is an abundant number, since it is smaller than the sum of its proper divisors (511206200686704).

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

221121211002000 is a wasteful number, since it uses less digits than its factorization.

221121211002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224803 (or 224787 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221121211002000 its reverse (200112121122), we get a palindrome (221321323123122).

The spelling of 221121211002000 in words is "two hundred twenty-one trillion, one hundred twenty-one billion, two hundred eleven million, two thousand".