1010100110001 has 32 divisors (see below), whose sum is σ = 1443782734848. Its totient is φ = 626520565440.

The previous prime is 1010100109987. The next prime is 1010100110029. The reversal of 1010100110001 is 1000110010101.

It is not a de Polignac number, because 1010100110001 - 2⁹ = 1010100109489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010100111001) 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 31 ways as a sum of consecutive naturals, for example, 8485786 + ... + 8603996.

It is an arithmetic number, because the mean of its divisors is an integer number (45118210464).

Almost surely, 2^{1010100110001} is an apocalyptic number.

It is an amenable number.

1010100110001 is a deficient number, since it is larger than the sum of its proper divisors (433682624847).

1010100110001 is a wasteful number, since it uses less digits than its factorization.

1010100110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121621.

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

Adding to 1010100110001 its reverse (1000110010101), we get a palindrome (2010210120102).

The spelling of 1010100110001 in words is "one trillion, ten billion, one hundred million, one hundred ten thousand, one".