100011010101 has 64 divisors (see below), whose sum is σ = 145958727168. Its totient is φ = 60739227648.

The previous prime is 100011010097. The next prime is 100011010103. The reversal of 100011010101 is 101010110001.

It is not a de Polignac number, because 100011010101 - 2² = 100011010097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100011010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25530595 + ... + 25534511.

It is an arithmetic number, because the mean of its divisors is an integer number (2280605112).

Almost surely, 2^100011010101 is an apocalyptic number.

It is an amenable number.

100011010101 is a deficient number, since it is larger than the sum of its proper divisors (45947717067).

100011010101 is a wasteful number, since it uses less digits than its factorization.

100011010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100011010101 its reverse (101010110001), we get a palindrome (201021120102).

It can be divided in two parts, 10001 and 1010101, that multiplied together give a palindrome (10102020101).

The spelling of 100011010101 in words is "one hundred billion, eleven million, ten thousand, one hundred one".