100101221122111 has 12 divisors (see below), whose sum is σ = 110173199304672. Its totient is φ = 90881529068000.

The previous prime is 100101221122099. The next prime is 100101221122163. The reversal of 100101221122111 is 111221122101001.

It is not a de Polignac number, because 100101221122111 - 2⁵ = 100101221122079 is a prime.

It is a super-2 number, since 2×100101221122111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101221125111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 543457735 + ... + 543641896.

It is an arithmetic number, because the mean of its divisors is an integer number (9181099942056).

Almost surely, 2^{100101221122111} is an apocalyptic number.

100101221122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100101221122111 is a deficient number, since it is larger than the sum of its proper divisors (10071978182561).

100101221122111 is a wasteful number, since it uses less digits than its factorization.

100101221122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087100414 (or 1087100403 counting only the distinct ones).

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

Adding to 100101221122111 its reverse (111221122101001), we get a palindrome (211322343223112).

The spelling of 100101221122111 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred eleven".