101011101000001 has 8 divisors (see below), whose sum is σ = 101689388433000. Its totient is φ = 100332818375040.

The previous prime is 101011100999989. The next prime is 101011101000053. The reversal of 101011101000001 is 100000101110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2463091691776 + 98548009308225 = 1569424^2 + 9927135^2 .

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 101011101000001 - 2⁹ = 101011100999489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101011101000071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47581261 + ... + 49658821.

It is an arithmetic number, because the mean of its divisors is an integer number (12711173554125).

Almost surely, 2^{101011101000001} is an apocalyptic number.

It is an amenable number.

101011101000001 is a deficient number, since it is larger than the sum of its proper divisors (678287432999).

101011101000001 is a wasteful number, since it uses less digits than its factorization.

101011101000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404019.

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

Adding to 101011101000001 its reverse (100000101110101), we get a palindrome (201011202110102).

The spelling of 101011101000001 in words is "one hundred one trillion, eleven billion, one hundred one million, one", and thus it is an aban number.