10100100111 has 8 divisors (see below), whose sum is σ = 13901213184. Its totient is φ = 6516193560.

The previous prime is 10100100079. The next prime is 10100100133. The reversal of 10100100111 is 11100100101.

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

It is not a de Polignac number, because 10100100111 - 2⁵ = 10100100079 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10100100111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100181) 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, 54301521 + ... + 54301706.

It is an arithmetic number, because the mean of its divisors is an integer number (1737651648).

Almost surely, 2^10100100111 is an apocalyptic number.

10100100111 is a deficient number, since it is larger than the sum of its proper divisors (3801113073).

10100100111 is a wasteful number, since it uses less digits than its factorization.

10100100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108603261.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100100111 its reverse (11100100101), we get a palindrome (21200200212).

The spelling of 10100100111 in words is "ten billion, one hundred million, one hundred thousand, one hundred eleven".