100010001011011 has 32 divisors (see below), whose sum is σ = 124579042334208. Its totient is φ = 78171161011200.

The previous prime is 100010001010979. The next prime is 100010001011033. The reversal of 100010001011011 is 110110100010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100010001011011 - 2⁵ = 100010001010979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 100010001010985 and 100010001011003.

It is not an unprimeable number, because it can be changed into a prime (100010001011071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141545811 + ... + 142250611.

It is an arithmetic number, because the mean of its divisors is an integer number (3893095072944).

Almost surely, 2^{100010001011011} is an apocalyptic number.

100010001011011 is a deficient number, since it is larger than the sum of its proper divisors (24569041323197).

100010001011011 is a wasteful number, since it uses less digits than its factorization.

100010001011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723691.

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

Adding to 100010001011011 its reverse (110110100010001), we get a palindrome (210120101021012).

The spelling of 100010001011011 in words is "one hundred trillion, ten billion, one million, eleven thousand, eleven".