100101111001011 has 64 divisors (see below), whose sum is σ = 160899343756800. Its totient is φ = 61300738372608.

The previous prime is 100101111000977. The next prime is 100101111001043. The reversal of 100101111001011 is 110100111101001.

It is not a de Polignac number, because 100101111001011 - 2¹³ = 100101110992819 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 = 100101111000984 and 100101111001002.

It is not an unprimeable number, because it can be changed into a prime (100101111003011) 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, 13539526 + ... + 19583691.

It is an arithmetic number, because the mean of its divisors is an integer number (2514052246200).

Almost surely, 2^{100101111001011} is an apocalyptic number.

100101111001011 is a deficient number, since it is larger than the sum of its proper divisors (60798232755789).

100101111001011 is a wasteful number, since it uses less digits than its factorization.

100101111001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33123425 (or 33123419 counting only the distinct ones).

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

Adding to 100101111001011 its reverse (110100111101001), we get a palindrome (210201222102012).

The spelling of 100101111001011 in words is "one hundred trillion, one hundred one billion, one hundred eleven million, one thousand, eleven".