100220011122011 has 32 divisors (see below), whose sum is σ = 122410961842176. Its totient is φ = 80959630464000.

The previous prime is 100220011121983. The next prime is 100220011122013. The reversal of 100220011122011 is 110221110022001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100220011122011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100220011122013) 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 31 ways as a sum of consecutive naturals, for example, 210594695 + ... + 211070048.

It is an arithmetic number, because the mean of its divisors is an integer number (3825342557568).

Almost surely, 2^{100220011122011} is an apocalyptic number.

100220011122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100220011122011 is a deficient number, since it is larger than the sum of its proper divisors (22190950720165).

100220011122011 is a wasteful number, since it uses less digits than its factorization.

100220011122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421664843.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100220011122011 its reverse (110221110022001), we get a palindrome (210441121144012).

The spelling of 100220011122011 in words is "one hundred trillion, two hundred twenty billion, eleven million, one hundred twenty-two thousand, eleven".