100100002111 has 8 divisors (see below), whose sum is σ = 100899348480. Its totient is φ = 99300830328.

The previous prime is 100100002073. The next prime is 100100002127. The reversal of 100100002111 is 111200001001.

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 100100002111 - 2¹³ = 100099993919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100002094 and 100100002103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100002181) 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, 1262910 + ... + 1339828.

It is an arithmetic number, because the mean of its divisors is an integer number (12612418560).

Almost surely, 2^100100002111 is an apocalyptic number.

100100002111 is a deficient number, since it is larger than the sum of its proper divisors (799346369).

100100002111 is a wasteful number, since it uses less digits than its factorization.

100100002111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87293.

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

Adding to 100100002111 its reverse (111200001001), we get a palindrome (211300003112).

The spelling of 100100002111 in words is "one hundred billion, one hundred million, two thousand, one hundred eleven".