100100310011 has 32 divisors (see below), whose sum is σ = 114597504000. Its totient is φ = 86674710528.

The previous prime is 100100309999. The next prime is 100100310017. The reversal of 100100310011 is 110013001001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100310011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100310017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10562171 + ... + 10571643.

It is an arithmetic number, because the mean of its divisors is an integer number (3581172000).

Almost surely, 2^100100310011 is an apocalyptic number.

100100310011 is a deficient number, since it is larger than the sum of its proper divisors (14497193989).

100100310011 is a wasteful number, since it uses less digits than its factorization.

100100310011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9923.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100100310011 its reverse (110013001001), we get a palindrome (210113311012).

The spelling of 100100310011 in words is "one hundred billion, one hundred million, three hundred ten thousand, eleven".