100021000211 has 16 divisors (see below), whose sum is σ = 115096550400. Its totient is φ = 85962564000.

The previous prime is 100021000193. The next prime is 100021000223. The reversal of 100021000211 is 112000120001.

It is a cyclic number.

It is not a de Polignac number, because 100021000211 - 2¹⁴ = 100020983827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100021000511) 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 15 ways as a sum of consecutive naturals, for example, 399440 + ... + 599661.

It is an arithmetic number, because the mean of its divisors is an integer number (7193534400).

Almost surely, 2^100021000211 is an apocalyptic number.

100021000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100021000211 is a deficient number, since it is larger than the sum of its proper divisors (15075550189).

100021000211 is a wasteful number, since it uses less digits than its factorization.

100021000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999610.

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

Adding to 100021000211 its reverse (112000120001), we get a palindrome (212021120212).

The spelling of 100021000211 in words is "one hundred billion, twenty-one million, two hundred eleven", and thus it is an aban number.