100000101111011 has 16 divisors (see below), whose sum is σ = 112257057225600. Its totient is φ = 88522707904128.

The previous prime is 100000101111007. The next prime is 100000101111017. The reversal of 100000101111011 is 110111101000001.

It is a cyclic number.

It is not a de Polignac number, because 100000101111011 - 2² = 100000101111007 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100000101111011.

It is not an unprimeable number, because it can be changed into a prime (100000101111017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113616385 + ... + 1113706178.

It is an arithmetic number, because the mean of its divisors is an integer number (7016066076600).

Almost surely, 2^{100000101111011} is an apocalyptic number.

100000101111011 is a deficient number, since it is larger than the sum of its proper divisors (12256956114589).

100000101111011 is a wasteful number, since it uses less digits than its factorization.

100000101111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227322738.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100000101111011 its reverse (110111101000001), we get a palindrome (210111202111012).

The spelling of 100000101111011 in words is "one hundred trillion, one hundred one million, one hundred eleven thousand, eleven".