1010012001101 has 16 divisors (see below), whose sum is σ = 1091987255664. Its totient is φ = 930733830144.

The previous prime is 1010012001001. The next prime is 1010012001121. The reversal of 1010012001101 is 1011002100101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18244985476 + 991767015625 = 135074^2 + 995875^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1010012001101 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 (1010012001121) 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, 2800310 + ... + 3140343.

It is an arithmetic number, because the mean of its divisors is an integer number (68249203479).

Almost surely, 2^{1010012001101} is an apocalyptic number.

It is an amenable number.

1010012001101 is a deficient number, since it is larger than the sum of its proper divisors (81975254563).

1010012001101 is a wasteful number, since it uses less digits than its factorization.

1010012001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940880.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010012001101 its reverse (1011002100101), we get a palindrome (2021014101202).

The spelling of 1010012001101 in words is "one trillion, ten billion, twelve million, one thousand, one hundred one".