100101010000011 has 64 divisors (see below), whose sum is σ = 149341113230976. Its totient is φ = 59364264960000.

The previous prime is 100101009999997. The next prime is 100101010000087. The reversal of 100101010000011 is 110000010101001.

It is not a de Polignac number, because 100101010000011 - 2¹⁹ = 100101009475723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100101010000091) 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, 5146161 + ... + 15056061.

It is an arithmetic number, because the mean of its divisors is an integer number (2333454894234).

Almost surely, 2^{100101010000011} is an apocalyptic number.

100101010000011 is a deficient number, since it is larger than the sum of its proper divisors (49240103230965).

100101010000011 is a wasteful number, since it uses less digits than its factorization.

100101010000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910112.

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

Adding to 100101010000011 its reverse (110000010101001), we get a palindrome (210101020101012).

The spelling of 100101010000011 in words is "one hundred trillion, one hundred one billion, ten million, eleven", and thus it is an aban number.