1002221100001 has 8 divisors (see below), whose sum is σ = 1157645762784. Its totient is φ = 857515379520.

The previous prime is 1002221099989. The next prime is 1002221100043. The reversal of 1002221100001 is 1000011222001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002221100001 - 2⁹ = 1002221099489 is a prime.

It is a super-5 number, since 5×1002221100001⁵ (a number of 61 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002221100901) 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 7 ways as a sum of consecutive naturals, for example, 2679735375 + ... + 2679735748.

It is an arithmetic number, because the mean of its divisors is an integer number (144705720348).

Almost surely, 2^{1002221100001} is an apocalyptic number.

1002221100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002221100001 is a deficient number, since it is larger than the sum of its proper divisors (155424662783).

1002221100001 is a wasteful number, since it uses less digits than its factorization.

1002221100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5359471151.

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

Adding to 1002221100001 its reverse (1000011222001), we get a palindrome (2002232322002).

The spelling of 1002221100001 in words is "one trillion, two billion, two hundred twenty-one million, one hundred thousand, one".