100233221013211 has 16 divisors (see below), whose sum is σ = 117768208047840. Its totient is φ = 84103439109120.

The previous prime is 100233221013209. The next prime is 100233221013221. The reversal of 100233221013211 is 112310122332001.

It is a cyclic number.

It is not a de Polignac number, because 100233221013211 - 2¹ = 100233221013209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100233221013221) 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, 33366550 + ... + 36246283.

It is an arithmetic number, because the mean of its divisors is an integer number (7360513002990).

Almost surely, 2^{100233221013211} is an apocalyptic number.

100233221013211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100233221013211 is a deficient number, since it is larger than the sum of its proper divisors (17534987034629).

100233221013211 is a wasteful number, since it uses less digits than its factorization.

100233221013211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69622926.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 100233221013211 its reverse (112310122332001), we get a palindrome (212543343345212).

The spelling of 100233221013211 in words is "one hundred trillion, two hundred thirty-three billion, two hundred twenty-one million, thirteen thousand, two hundred eleven".