100100122111 has 8 divisors (see below), whose sum is σ = 109748880000. Its totient is φ = 90542822040.

The previous prime is 100100122081. The next prime is 100100122123. The reversal of 100100122111 is 111221001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100100122111 - 2²¹ = 100098024959 is a prime.

It is a super-2 number, since 2×100100122111² (a number of 23 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 (100100122141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22862161 + ... + 22866538.

It is an arithmetic number, because the mean of its divisors is an integer number (13718610000).

Almost surely, 2^100100122111 is an apocalyptic number.

100100122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100122111 is a deficient number, since it is larger than the sum of its proper divisors (9648757889).

100100122111 is a wasteful number, since it uses less digits than its factorization.

100100122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45728909.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100100122111 its reverse (111221001001), we get a palindrome (211321123112).

The spelling of 100100122111 in words is "one hundred billion, one hundred million, one hundred twenty-two thousand, one hundred eleven".