100220221112011 has 48 divisors (see below), whose sum is σ = 137659550323680. Its totient is φ = 71720550558720.

The previous prime is 100220221111903. The next prime is 100220221112117. The reversal of 100220221112011 is 110211122022001.

It is not a de Polignac number, because 100220221112011 - 2⁹ = 100220221111499 is a prime.

It is a super-2 number, since 2×100220221112011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100220221112411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34921326 + ... + 37682083.

It is an arithmetic number, because the mean of its divisors is an integer number (2867907298410).

Almost surely, 2^{100220221112011} is an apocalyptic number.

100220221112011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100220221112011 is a deficient number, since it is larger than the sum of its proper divisors (37439329211669).

100220221112011 is a wasteful number, since it uses less digits than its factorization.

100220221112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72603644 (or 72603637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100220221112011 its reverse (110211122022001), we get a palindrome (210431343134012).

The spelling of 100220221112011 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-one million, one hundred twelve thousand, eleven".