100010110110011 has 16 divisors (see below), whose sum is σ = 106059784416768. Its totient is φ = 94108116379200.

The previous prime is 100010110109971. The next prime is 100010110110023. The reversal of 100010110110011 is 110011011010001.

It is a cyclic number.

It is not a de Polignac number, because 100010110110011 - 2³⁸ = 99735232203067 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100010110110311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66259385 + ... + 67751946.

It is an arithmetic number, because the mean of its divisors is an integer number (6628736526048).

Almost surely, 2^{100010110110011} is an apocalyptic number.

100010110110011 is a deficient number, since it is larger than the sum of its proper divisors (6049674306757).

100010110110011 is a wasteful number, since it uses less digits than its factorization.

100010110110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134011882.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100010110110011 its reverse (110011011010001), we get a palindrome (210021121120012).

The spelling of 100010110110011 in words is "one hundred trillion, ten billion, one hundred ten million, one hundred ten thousand, eleven".