100221122011 has 8 divisors (see below), whose sum is σ = 104493381120. Its totient is φ = 96003286848.

The previous prime is 100221121997. The next prime is 100221122021. The reversal of 100221122011 is 110221122001.

100221122011 = T₂₂₇₄₆ + T₂₂₇₄₇ + ... + T₂₃₁₂₆.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100221122011 - 2¹¹ = 100221119963 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100221121982 and 100221122000.

It is not an unprimeable number, because it can be changed into a prime (100221122021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13602226 + ... + 13609591.

It is an arithmetic number, because the mean of its divisors is an integer number (13061672640).

Almost surely, 2^100221122011 is an apocalyptic number.

100221122011 is a deficient number, since it is larger than the sum of its proper divisors (4272259109).

100221122011 is a wasteful number, since it uses less digits than its factorization.

100221122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27211973.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100221122011 its reverse (110221122001), we get a palindrome (210442244012).

The spelling of 100221122011 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-two thousand, eleven".