10100111011 has 8 divisors (see below), whose sum is σ = 10348915248. Its totient is φ = 9851424000.

The previous prime is 10100110997. The next prime is 10100111059. The reversal of 10100111011 is 11011100101.

It is a happy number.

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 10100111011 - 2¹⁵ = 10100078243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100110985 and 10100111003.

It is not an unprimeable number, because it can be changed into a prime (10100111071) 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, 159996 + ... + 214006.

It is an arithmetic number, because the mean of its divisors is an integer number (1293614406).

Almost surely, 2^10100111011 is an apocalyptic number.

10100111011 is a deficient number, since it is larger than the sum of its proper divisors (248804237).

10100111011 is an equidigital number, since it uses as much as digits as its factorization.

10100111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58613.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100111011 its reverse (11011100101), we get a palindrome (21111211112).

The spelling of 10100111011 in words is "ten billion, one hundred million, one hundred eleven thousand, eleven".