100010111 has 8 divisors (see below), whose sum is σ = 102838848. Its totient is φ = 97200000.

The previous prime is 100010107. The next prime is 100010143. The reversal of 100010111 is 111010001.

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

It is a cyclic number.

It is not a de Polignac number, because 100010111 - 2² = 100010107 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010095 and 100010104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010161) 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, 6611 + ... + 15611.

It is an arithmetic number, because the mean of its divisors is an integer number (12854856).

Almost surely, 2^100010111 is an apocalyptic number.

100010111 is a deficient number, since it is larger than the sum of its proper divisors (2828737).

100010111 is an equidigital number, since it uses as much as digits as its factorization.

100010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9313.

The product of its (nonzero) digits is 1, while the sum is 5.

The square root of 100010111 is about 10000.5055372216. The cubic root of 100010111 is about 464.1745265356.

Adding to 100010111 its reverse (111010001), we get a palindrome (211020112).

It can be divided in two parts, 1000 and 10111, that added together give a palindrome (11111).

The spelling of 100010111 in words is "one hundred million, ten thousand, one hundred eleven".