10101101100001 has 8 divisors (see below), whose sum is σ = 10337393130944. Its totient is φ = 9864871919280.

The previous prime is 10101101099983. The next prime is 10101101100043. The reversal of 10101101100001 is 10000110110101.

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 10101101100001 - 2¹¹ = 10101101097953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101101100071) 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, 15387285 + ... + 16030306.

It is an arithmetic number, because the mean of its divisors is an integer number (1292174141368).

Almost surely, 2^{10101101100001} is an apocalyptic number.

It is an amenable number.

10101101100001 is a deficient number, since it is larger than the sum of its proper divisors (236292030943).

10101101100001 is an equidigital number, since it uses as much as digits as its factorization.

10101101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31425111.

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

Adding to 10101101100001 its reverse (10000110110101), we get a palindrome (20101211210102).

The spelling of 10101101100001 in words is "ten trillion, one hundred one billion, one hundred one million, one hundred thousand, one".