100002102211 has 16 divisors (see below), whose sum is σ = 110288296800. Its totient is φ = 89918035200.

The previous prime is 100002102197. The next prime is 100002102227. The reversal of 100002102211 is 112201200001.

It is a cyclic number.

It is not a de Polignac number, because 100002102211 - 2¹⁵ = 100002069443 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100002102611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608941 + ... + 755521.

It is an arithmetic number, because the mean of its divisors is an integer number (6893018550).

Almost surely, 2^100002102211 is an apocalyptic number.

100002102211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100002102211 is a deficient number, since it is larger than the sum of its proper divisors (10286194589).

100002102211 is a wasteful number, since it uses less digits than its factorization.

100002102211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147270.

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

Adding to 100002102211 its reverse (112201200001), we get a palindrome (212203302212).

The spelling of 100002102211 in words is "one hundred billion, two million, one hundred two thousand, two hundred eleven".