101000100000101 has 16 divisors (see below), whose sum is σ = 105134135934960. Its totient is φ = 96909990051840.

The previous prime is 101000100000061. The next prime is 101000100000103. The reversal of 101000100000101 is 101000001000101.

It can be written as a sum of positive squares in 8 ways, for example, as 41302858492900 + 59697241507201 = 6426730^2 + 7726399^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000100000101 - 2³⁸ = 100725222093157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100000103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6610661 + ... + 15674853.

It is an arithmetic number, because the mean of its divisors is an integer number (6570883495935).

Almost surely, 2^{101000100000101} is an apocalyptic number.

It is an amenable number.

101000100000101 is a deficient number, since it is larger than the sum of its proper divisors (4134035934859).

101000100000101 is a wasteful number, since it uses less digits than its factorization.

101000100000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9066616.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 101000100000101 its reverse (101000001000101), we get a palindrome (202000101000202).

The spelling of 101000100000101 in words is "one hundred one trillion, one hundred million, one hundred one", and thus it is an aban number.