1002001221000 has 192 divisors, whose sum is σ = 3647284870320. Its totient is φ = 246646425600.

The previous prime is 1002001220999. The next prime is 1002001221007. The reversal of 1002001221000 is 1221002001.

1002001221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4012208964 + 997989012036 = 63342^2 + 998994^2 .

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 (1002001221007) 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, 4165057 + ... + 4399056.

Almost surely, 2^{1002001221000} is an apocalyptic number.

1002001221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002001221000 is an abundant number, since it is smaller than the sum of its proper divisors (2645283649320).

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

1002001221000 is a wasteful number, since it uses less digits than its factorization.

1002001221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8564153 (or 8564136 counting only the distinct ones).

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

Adding to 1002001221000 its reverse (1221002001), we get a palindrome (1003222223001).

The spelling of 1002001221000 in words is "one trillion, two billion, one million, two hundred twenty-one thousand".