1000100110011 has 64 divisors (see below), whose sum is σ = 1407233860608. Its totient is φ = 631145945088.

The previous prime is 1000100109997. The next prime is 1000100110021. The reversal of 1000100110011 is 1100110010001.

It is not a de Polignac number, because 1000100110011 - 2⁹ = 1000100109499 is a prime.

1000100110011 is a modest number, since divided by 110011 gives 10001 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1000100110021) 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, 180945330 + ... + 180950856.

It is an arithmetic number, because the mean of its divisors is an integer number (21988029072).

Almost surely, 2^{1000100110011} is an apocalyptic number.

1000100110011 is a deficient number, since it is larger than the sum of its proper divisors (407133750597).

1000100110011 is a wasteful number, since it uses less digits than its factorization.

1000100110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5940.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1000100110011 its reverse (1100110010001), we get a palindrome (2100210120012).

It can be divided in two parts, 1000100 and 110011, that added together give a palindrome (1110111).

The spelling of 1000100110011 in words is "one trillion, one hundred million, one hundred ten thousand, eleven".