100111110001011 has 24 divisors (see below), whose sum is σ = 150547605334880. Its totient is φ = 64047389129856.

The previous prime is 100111110000973. The next prime is 100111110001171. The reversal of 100111110001011 is 110100011111001.

It is not a de Polignac number, because 100111110001011 - 2¹⁹ = 100111109476723 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 = 100111110000984 and 100111110001002.

It is not an unprimeable number, because it can be changed into a prime (100111110041011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2059112431 + ... + 2059161048.

Almost surely, 2^{100111110001011} is an apocalyptic number.

100111110001011 is a deficient number, since it is larger than the sum of its proper divisors (50436495333869).

100111110001011 is a wasteful number, since it uses less digits than its factorization.

100111110001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4118273595 (or 4118273592 counting only the distinct ones).

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

Adding to 100111110001011 its reverse (110100011111001), we get a palindrome (210211121112012).

The spelling of 100111110001011 in words is "one hundred trillion, one hundred eleven billion, one hundred ten million, one thousand, eleven".