1010110001121 has 40 divisors (see below), whose sum is σ = 1681035851880. Its totient is φ = 600171441408.

The previous prime is 1010110001113. The next prime is 1010110001141. The reversal of 1010110001121 is 1211000110101.

It can be written as a sum of positive squares in 4 ways, for example, as 14265674721 + 995844326400 = 119439^2 + 997920^2 .

It is not a de Polignac number, because 1010110001121 - 2³ = 1010110001113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1010110001101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16508580 + ... + 16569653.

It is an arithmetic number, because the mean of its divisors is an integer number (42025896297).

Almost surely, 2^{1010110001121} is an apocalyptic number.

It is an amenable number.

1010110001121 is a deficient number, since it is larger than the sum of its proper divisors (670925850759).

1010110001121 is a wasteful number, since it uses less digits than its factorization.

1010110001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33078287 (or 33078278 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1010110001121 its reverse (1211000110101), we get a palindrome (2221110111222).

The spelling of 1010110001121 in words is "one trillion, ten billion, one hundred ten million, one thousand, one hundred twenty-one".