10101110100001 has 8 divisors (see below), whose sum is σ = 10111660787880. Its totient is φ = 10090559847168.

The previous prime is 10101110099957. The next prime is 10101110100031. The reversal of 10101110100001 is 10000101110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 89904025600 + 10011206074401 = 299840^2 + 3164049^2 .

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 10101110100001 - 2¹⁵ = 10101110067233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101110100031) 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, 69361675 + ... + 69507151.

It is an arithmetic number, because the mean of its divisors is an integer number (1263957598485).

Almost surely, 2^{10101110100001} is an apocalyptic number.

It is an amenable number.

10101110100001 is a deficient number, since it is larger than the sum of its proper divisors (10550687879).

10101110100001 is an equidigital number, since it uses as much as digits as its factorization.

10101110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217523.

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

Adding to 10101110100001 its reverse (10000101110101), we get a palindrome (20101211210102).

The spelling of 10101110100001 in words is "ten trillion, one hundred one billion, one hundred ten million, one hundred thousand, one".