100002003101021 has 16 divisors (see below), whose sum is σ = 115995162751104. Its totient is φ = 84435663432384.

The previous prime is 100002003100907. The next prime is 100002003101027. The reversal of 100002003101021 is 120101300200001.

It is a cyclic number.

It is not a de Polignac number, because 100002003101021 - 2¹⁸ = 100002002838877 is a prime.

It is a super-2 number, since 2×100002003101021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100002003100993 and 100002003101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100002003101027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39989531 + ... + 42416583.

It is an arithmetic number, because the mean of its divisors is an integer number (7249697671944).

Almost surely, 2^{100002003101021} is an apocalyptic number.

It is an amenable number.

100002003101021 is a deficient number, since it is larger than the sum of its proper divisors (15993159650083).

100002003101021 is an equidigital number, since it uses as much as digits as its factorization.

100002003101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514980.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100002003101021 its reverse (120101300200001), we get a palindrome (220103303301022).

The spelling of 100002003101021 in words is "one hundred trillion, two billion, three million, one hundred one thousand, twenty-one".