10101100001 has 4 divisors (see below), whose sum is σ = 10695282372. Its totient is φ = 9506917632.

The previous prime is 10101099989. The next prime is 10101100019. The reversal of 10101100001 is 10000110101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 7520358400 + 2580741601 = 86720^2 + 50801^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101100001 - 2²⁶ = 10033991137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101100021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297091160 + ... + 297091193.

It is an arithmetic number, because the mean of its divisors is an integer number (2673820593).

Almost surely, 2^10101100001 is an apocalyptic number.

It is an amenable number.

10101100001 is a deficient number, since it is larger than the sum of its proper divisors (594182371).

10101100001 is an equidigital number, since it uses as much as digits as its factorization.

10101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594182370.

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

Adding to 10101100001 its reverse (10000110101), we get a palindrome (20101210102).

It can be divided in two parts, 10101 and 100001, that multiplied together give a palindrome (1010110101).

The spelling of 10101100001 in words is "ten billion, one hundred one million, one hundred thousand, one".