1001000100221 has 8 divisors (see below), whose sum is σ = 1101024905088. Its totient is φ = 910000089900.

The previous prime is 1001000100173. The next prime is 1001000100241. The reversal of 1001000100221 is 1220010001001.

It is a de Polignac number, because none of the positive numbers 2^k-1001000100221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001000100199 and 1001000100208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001000100241) 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 7 ways as a sum of consecutive naturals, for example, 376031765 + ... + 376034426.

It is an arithmetic number, because the mean of its divisors is an integer number (137628113136).

Almost surely, 2^{1001000100221} is an apocalyptic number.

1001000100221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001000100221 is a deficient number, since it is larger than the sum of its proper divisors (100024804867).

1001000100221 is an frugal number, since it uses more digits than its factorization.

1001000100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752066224 (or 752066202 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001000100221 its reverse (1220010001001), we get a palindrome (2221010101222).

The spelling of 1001000100221 in words is "one trillion, one billion, one hundred thousand, two hundred twenty-one".