10100010100101 has 8 divisors (see below), whose sum is σ = 13600013600544. Its totient is φ = 6666673333200.

The previous prime is 10100010100021. The next prime is 10100010100123. The reversal of 10100010100101 is 10100101000101.

10100010100101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10100010100101 - 2¹¹ = 10100010098053 is a prime.

10100010100101 is a modest number, since divided by 10100101 gives 1010 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10100010100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010100151) 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, 16666683031 + ... + 16666683636.

It is an arithmetic number, because the mean of its divisors is an integer number (1700001700068).

Almost surely, 2^{10100010100101} is an apocalyptic number.

It is an amenable number.

10100010100101 is a deficient number, since it is larger than the sum of its proper divisors (3500003500443).

10100010100101 is a wasteful number, since it uses less digits than its factorization.

10100010100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33333366771.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10100010100101 its reverse (10100101000101), we get a palindrome (20200111100202).

The spelling of 10100010100101 in words is "ten trillion, one hundred billion, ten million, one hundred thousand, one hundred one".