1010100100101 has 16 divisors (see below), whose sum is σ = 1354518489600. Its totient is φ = 669541969008.

The previous prime is 1010100100081. The next prime is 1010100100109. The reversal of 1010100100101 is 1010010010101.

It is not a de Polignac number, because 1010100100101 - 2⁵ = 1010100100069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010100100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3713010 + ... + 3975756.

It is an arithmetic number, because the mean of its divisors is an integer number (84657405600).

Almost surely, 2^{1010100100101} is an apocalyptic number.

It is an amenable number.

1010100100101 is a deficient number, since it is larger than the sum of its proper divisors (344418389499).

1010100100101 is a wasteful number, since it uses less digits than its factorization.

1010100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270088.

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

Adding to 1010100100101 its reverse (1010010010101), we get a palindrome (2020110110202).

The spelling of 1010100100101 in words is "one trillion, ten billion, one hundred million, one hundred thousand, one hundred one".