100011010110101 has 2 divisors, whose sum is σ = 100011010110102. Its totient is φ = 100011010110100.

The previous prime is 100011010110097. The next prime is 100011010110127. The reversal of 100011010110101 is 101011010110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69824490771025 + 30186519339076 = 8356105^2 + 5494226^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011010110101 - 2² = 100011010110097 is a prime.

It is a super-2 number, since 2×100011010110101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011010100101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005505055050 + 50005505055051.

It is an arithmetic number, because the mean of its divisors is an integer number (50005505055051).

Almost surely, 2^{100011010110101} is an apocalyptic number.

It is an amenable number.

100011010110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011010110101 is an equidigital number, since it uses as much as digits as its factorization.

100011010110101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100011010110101 its reverse (101011010110001), we get a palindrome (201022020220102).

It can be divided in two parts, 10001 and 1010110101, that multiplied together give a palindrome (10102111120101).

The spelling of 100011010110101 in words is "one hundred trillion, eleven billion, ten million, one hundred ten thousand, one hundred one".