1001012221000 has 64 divisors (see below), whose sum is σ = 2555311224960. Its totient is φ = 364004440000.

The previous prime is 1001012220959. The next prime is 1001012221007. The reversal of 1001012221000 is 1222101001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1001012221007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 45489556 + ... + 45511555.

It is an arithmetic number, because the mean of its divisors is an integer number (39926737890).

Almost surely, 2^{1001012221000} is an apocalyptic number.

1001012221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012221000 is an abundant number, since it is smaller than the sum of its proper divisors (1554299003960).

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

1001012221000 is a wasteful number, since it uses less digits than its factorization.

1001012221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91001143 (or 91001129 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001012221000 its reverse (1222101001), we get a palindrome (1002234322001).

The spelling of 1001012221000 in words is "one trillion, one billion, twelve million, two hundred twenty-one thousand".