100010111101011 has 48 divisors (see below), whose sum is σ = 149966823485440. Its totient is φ = 64171679734080.

The previous prime is 100010111101009. The next prime is 100010111101027. The reversal of 100010111101011 is 110101111010001.

It is not a de Polignac number, because 100010111101011 - 2¹ = 100010111101009 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100010111100984 and 100010111101002.

It is not an unprimeable number, because it can be changed into a prime (100010111101211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29934366 + ... + 33107196.

Almost surely, 2^{100010111101011} is an apocalyptic number.

100010111101011 is a deficient number, since it is larger than the sum of its proper divisors (49956712384429).

100010111101011 is a wasteful number, since it uses less digits than its factorization.

100010111101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173896 (or 3173893 counting only the distinct ones).

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

Adding to 100010111101011 its reverse (110101111010001), we get a palindrome (210111222111012).

The spelling of 100010111101011 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred one thousand, eleven".