100110011001016 has 32 divisors (see below), whose sum is σ = 188866558488960. Its totient is φ = 49745623748832.

The previous prime is 100110011000983. The next prime is 100110011001017. The reversal of 100110011001016 is 610100110011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110011000987 and 100110011001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110011001017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26670541 + ... + 30191683.

It is an arithmetic number, because the mean of its divisors is an integer number (5902079952780).

Almost surely, 2^{100110011001016} is an apocalyptic number.

It is an amenable number.

100110011001016 is a deficient number, since it is larger than the sum of its proper divisors (88756547487944).

100110011001016 is a wasteful number, since it uses less digits than its factorization.

100110011001016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543115 (or 3543111 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 100110011001016 its reverse (610100110011001), we get a palindrome (710210121012017).

The spelling of 100110011001016 in words is "one hundred trillion, one hundred ten billion, eleven million, one thousand, sixteen".