1002012221001 has 32 divisors (see below), whose sum is σ = 1592986853376. Its totient is φ = 553120416000.

The previous prime is 1002012220991. The next prime is 1002012221047. The reversal of 1002012221001 is 1001222102001.

It is not a de Polignac number, because 1002012221001 - 2²³ = 1002003832393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002012221071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28790965 + ... + 28825746.

It is an arithmetic number, because the mean of its divisors is an integer number (49780839168).

Almost surely, 2^{1002012221001} is an apocalyptic number.

1002012221001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002012221001 is a deficient number, since it is larger than the sum of its proper divisors (590974632375).

1002012221001 is a wasteful number, since it uses less digits than its factorization.

1002012221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57616773.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002012221001 its reverse (1001222102001), we get a palindrome (2003234323002).

The spelling of 1002012221001 in words is "one trillion, two billion, twelve million, two hundred twenty-one thousand, one".