10101011000101 has 32 divisors (see below), whose sum is σ = 12444373370880. Its totient is φ = 8002503806976.

The previous prime is 10101011000029. The next prime is 10101011000111. The reversal of 10101011000101 is 10100011010101.

It is a happy number.

10101011000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101011000101 - 2¹¹ = 10101010998053 is a prime.

It is a super-2 number, since 2×10101011000101² (a number of 27 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101011000111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1980021 + ... + 4911466.

It is an arithmetic number, because the mean of its divisors is an integer number (388886667840).

Almost surely, 2^{10101011000101} is an apocalyptic number.

It is an amenable number.

10101011000101 is a deficient number, since it is larger than the sum of its proper divisors (2343362370779).

10101011000101 is a wasteful number, since it uses less digits than its factorization.

10101011000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891733.

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

Adding to 10101011000101 its reverse (10100011010101), we get a palindrome (20201022010202).

The spelling of 10101011000101 in words is "ten trillion, one hundred one billion, eleven million, one hundred one", and thus it is an aban number.