100110100101011 has 48 divisors (see below), whose sum is σ = 136490238390528. Its totient is φ = 71294320656000.

The previous prime is 100110100100953. The next prime is 100110100101017. The reversal of 100110100101011 is 110101001011001.

It is not a de Polignac number, because 100110100101011 - 2¹⁸ = 100110099838867 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100110100101011.

It is not an unprimeable number, because it can be changed into a prime (100110100101017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36770261 + ... + 39398886.

It is an arithmetic number, because the mean of its divisors is an integer number (2843546633136).

Almost surely, 2^{100110100101011} is an apocalyptic number.

100110100101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100110100101011 is a deficient number, since it is larger than the sum of its proper divisors (36380138289517).

100110100101011 is a wasteful number, since it uses less digits than its factorization.

100110100101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76169292 (or 76169279 counting only the distinct ones).

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

Adding to 100110100101011 its reverse (110101001011001), we get a palindrome (210211101112012).

The spelling of 100110100101011 in words is "one hundred trillion, one hundred ten billion, one hundred million, one hundred one thousand, eleven".