100010111110011 has 24 divisors (see below), whose sum is σ = 144564046648320. Its totient is φ = 66624949402416.

The previous prime is 100010111110009. The next prime is 100010111110027. The reversal of 100010111110011 is 110011111010001.

It is not a de Polignac number, because 100010111110011 - 2¹ = 100010111110009 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 = 100010111109975 and 100010111110002.

It is not an unprimeable number, because it can be changed into a prime (100010111110031) 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, 793548360 + ... + 793674378.

It is an arithmetic number, because the mean of its divisors is an integer number (6023501943680).

Almost surely, 2^{100010111110011} is an apocalyptic number.

100010111110011 is a deficient number, since it is larger than the sum of its proper divisors (44553935538309).

100010111110011 is a wasteful number, since it uses less digits than its factorization.

100010111110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189415 (or 189412 counting only the distinct ones).

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

Adding to 100010111110011 its reverse (110011111010001), we get a palindrome (210021222120012).

It can be divided in two parts, 1000101 and 11110011, that multiplied together give a palindrome (11111133111111).

The spelling of 100010111110011 in words is "one hundred trillion, ten billion, one hundred eleven million, one hundred ten thousand, eleven".