221000201001000 has 192 divisors, whose sum is σ = 752862420910080. Its totient is φ = 58469344214400.

The previous prime is 221000201000951. The next prime is 221000201001007. The reversal of 221000201001000 is 100102000122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (221000201001007) 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, 95532504 + ... + 97818503.

It is an arithmetic number, because the mean of its divisors is an integer number (3921158442240).

Almost surely, 2^{221000201001000} is an apocalyptic number.

221000201001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221000201001000 is an abundant number, since it is smaller than the sum of its proper divisors (531862219909080).

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

221000201001000 is a wasteful number, since it uses less digits than its factorization.

221000201001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193351161 (or 193351144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 221000201001000 its reverse (100102000122), we get a palindrome (221100303001122).

The spelling of 221000201001000 in words is "two hundred twenty-one trillion, two hundred one million, one thousand".