100101001111011 has 48 divisors (see below), whose sum is σ = 150446371412064. Its totient is φ = 66511161759744.

The previous prime is 100101001110991. The next prime is 100101001111061. The reversal of 100101001111011 is 110111100101001.

It is not a de Polignac number, because 100101001111011 - 2¹⁸ = 100101000848867 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 = 100101001110984 and 100101001111002.

It is not an unprimeable number, because it can be changed into a prime (100101001111061) 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, 545783755 + ... + 545967131.

It is an arithmetic number, because the mean of its divisors is an integer number (3134299404418).

Almost surely, 2^{100101001111011} is an apocalyptic number.

100101001111011 is a deficient number, since it is larger than the sum of its proper divisors (50345370301053).

100101001111011 is an equidigital number, since it uses as much as digits as its factorization.

100101001111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190882 (or 190870 counting only the distinct ones).

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

Adding to 100101001111011 its reverse (110111100101001), we get a palindrome (210212101212012).

The spelling of 100101001111011 in words is "one hundred trillion, one hundred one billion, one million, one hundred eleven thousand, eleven".