100010101111011 has 72 divisors (see below), whose sum is σ = 183604328512800. Its totient is φ = 51326835176448.

The previous prime is 100010101111007. The next prime is 100010101111027. The reversal of 100010101111011 is 110111101010001.

It is not a de Polignac number, because 100010101111011 - 2² = 100010101111007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100010101110984 and 100010101111002.

It is not an unprimeable number, because it can be changed into a prime (100010101113011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 126542086 + ... + 127329963.

Almost surely, 2^{100010101111011} is an apocalyptic number.

100010101111011 is a deficient number, since it is larger than the sum of its proper divisors (83594227401789).

100010101111011 is a wasteful number, since it uses less digits than its factorization.

100010101111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253872125 (or 253872109 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 100010101111011 its reverse (110111101010001), we get a palindrome (210121202121012).

The spelling of 100010101111011 in words is "one hundred trillion, ten billion, one hundred one million, one hundred eleven thousand, eleven".