100221022220011 has 32 divisors (see below), whose sum is σ = 127861501920768. Its totient is φ = 76275303229440.

The previous prime is 100221022219991. The next prime is 100221022220017. The reversal of 100221022220011 is 110022220122001.

It is a happy number.

It is not a de Polignac number, because 100221022220011 - 2²¹ = 100221020122859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100221022220017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90159051 + ... + 91263883.

It is an arithmetic number, because the mean of its divisors is an integer number (3995671935024).

Almost surely, 2^{100221022220011} is an apocalyptic number.

100221022220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100221022220011 is a deficient number, since it is larger than the sum of its proper divisors (27640479700757).

100221022220011 is a wasteful number, since it uses less digits than its factorization.

100221022220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132291.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100221022220011 its reverse (110022220122001), we get a palindrome (210243242342012).

The spelling of 100221022220011 in words is "one hundred trillion, two hundred twenty-one billion, twenty-two million, two hundred twenty thousand, eleven".