100120111 has 16 divisors (see below), whose sum is σ = 127203328. Its totient is φ = 76658400.

The previous prime is 100120091. The next prime is 100120159. The reversal of 100120111 is 111021001.

It is not a de Polignac number, because 100120111 - 2⁵ = 100120079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100120094 and 100120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14925 + ... + 20566.

It is an arithmetic number, because the mean of its divisors is an integer number (7950208).

Almost surely, 2^100120111 is an apocalyptic number.

100120111 is a deficient number, since it is larger than the sum of its proper divisors (27083217).

100120111 is a wasteful number, since it uses less digits than its factorization.

100120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35542.

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 100120111 is about 10006.0037477506. The cubic root of 100120111 is about 464.3446443001.

Adding to 100120111 its reverse (111021001), we get a palindrome (211141112).

It can be divided in two parts, 1001 and 20111, that added together give a palindrome (21112).

The spelling of 100120111 in words is "one hundred million, one hundred twenty thousand, one hundred eleven".