1010100100011 has 16 divisors (see below), whose sum is σ = 1383285835008. Its totient is φ = 655159471200.

The previous prime is 1010100100007. The next prime is 1010100100039. The reversal of 1010100100011 is 1100010010101.

It is not a de Polignac number, because 1010100100011 - 2² = 1010100100007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010100100081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1572456 + ... + 2119626.

It is an arithmetic number, because the mean of its divisors is an integer number (86455364688).

Almost surely, 2^{1010100100011} is an apocalyptic number.

1010100100011 is a deficient number, since it is larger than the sum of its proper divisors (373185734997).

1010100100011 is a wasteful number, since it uses less digits than its factorization.

1010100100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563842.

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

Adding to 1010100100011 its reverse (1100010010101), we get a palindrome (2110110110112).

It can be divided in two parts, 1010100 and 100011, that added together give a palindrome (1110111).

The spelling of 1010100100011 in words is "one trillion, ten billion, one hundred million, one hundred thousand, eleven".