10001020100101 has 8 divisors (see below), whose sum is σ = 10014416820504. Its totient is φ = 9987624049920.

The previous prime is 10001020100089. The next prime is 10001020100111. The reversal of 10001020100101 is 10100102010001.

It can be written as a sum of positive squares in 4 ways, for example, as 375830302500 + 9625189797601 = 613050^2 + 3102449^2 .

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 10001020100101 - 2¹¹ = 10001020098053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001020100111) 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, 34478791 + ... + 34767643.

It is an arithmetic number, because the mean of its divisors is an integer number (1251802102563).

Almost surely, 2^{10001020100101} is an apocalyptic number.

It is an amenable number.

10001020100101 is a deficient number, since it is larger than the sum of its proper divisors (13396720403).

10001020100101 is an equidigital number, since it uses as much as digits as its factorization.

10001020100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335111.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10001020100101 its reverse (10100102010001), we get a palindrome (20101122110102).

The spelling of 10001020100101 in words is "ten trillion, one billion, twenty million, one hundred thousand, one hundred one".