100001001111011 has 64 divisors (see below), whose sum is σ = 136478348160000. Its totient is φ = 70744359052800.

The previous prime is 100001001110939. The next prime is 100001001111017. The reversal of 100001001111011 is 110111100100001.

It is a cyclic number.

It is not a de Polignac number, because 100001001111011 - 2³⁴ = 99983821241827 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001001111011.

It is not an unprimeable number, because it can be changed into a prime (100001001111017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 937171940 + ... + 937278638.

It is an arithmetic number, because the mean of its divisors is an integer number (2132474190000).

Almost surely, 2^{100001001111011} is an apocalyptic number.

100001001111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100001001111011 is a deficient number, since it is larger than the sum of its proper divisors (36477347048989).

100001001111011 is a wasteful number, since it uses less digits than its factorization.

100001001111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122140.

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

Adding to 100001001111011 its reverse (110111100100001), we get a palindrome (210112101211012).

It can be divided in two parts, 10000100 and 1111011, that added together give a palindrome (11111111).

The spelling of 100001001111011 in words is "one hundred trillion, one billion, one million, one hundred eleven thousand, eleven".