100111021220111 has 16 divisors (see below), whose sum is σ = 116047776804768. Its totient is φ = 85351661337600.

The previous prime is 100111021220107. The next prime is 100111021220159. The reversal of 100111021220111 is 111022120111001.

It is a cyclic number.

It is not a de Polignac number, because 100111021220111 - 2² = 100111021220107 is a prime.

It is a super-2 number, since 2×100111021220111² (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 (100111021220191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 952532960 + ... + 952638053.

It is an arithmetic number, because the mean of its divisors is an integer number (7252986050298).

Almost surely, 2^{100111021220111} is an apocalyptic number.

100111021220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100111021220111 is a deficient number, since it is larger than the sum of its proper divisors (15936755584657).

100111021220111 is a wasteful number, since it uses less digits than its factorization.

100111021220111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905171322.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100111021220111 its reverse (111022120111001), we get a palindrome (211133141331112).

The spelling of 100111021220111 in words is "one hundred trillion, one hundred eleven billion, twenty-one million, two hundred twenty thousand, one hundred eleven".