10101101000011 has 8 divisors (see below), whose sum is σ = 11544265923584. Its totient is φ = 8657973700200.

The previous prime is 10101100999961. The next prime is 10101101000021. The reversal of 10101101000011 is 11000010110101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101101000011 - 2⁷ = 10101100999883 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101100999958 and 10101101000003.

It is not an unprimeable number, because it can be changed into a prime (10101101000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8828265 + ... + 9906586.

It is an arithmetic number, because the mean of its divisors is an integer number (1443033240448).

Almost surely, 2^{10101101000011} is an apocalyptic number.

10101101000011 is a deficient number, since it is larger than the sum of its proper divisors (1443164923573).

10101101000011 is an equidigital number, since it uses as much as digits as its factorization.

10101101000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18811881.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10101101000011 its reverse (11000010110101), we get a palindrome (21101111110112).

The spelling of 10101101000011 in words is "ten trillion, one hundred one billion, one hundred one million, eleven", and thus it is an aban number.