10101120110011 has 192 divisors, whose sum is σ = 13151038279680. Its totient is φ = 7588878336000.

The previous prime is 10101120109999. The next prime is 10101120110017. The reversal of 10101120110011 is 11001102110101.

It is not a de Polignac number, because 10101120110011 - 2⁹ = 10101120109499 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101120110011.

It is not an unprimeable number, because it can be changed into a prime (10101120110017) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37273505806 + ... + 37273506076.

It is an arithmetic number, because the mean of its divisors is an integer number (68494991040).

Almost surely, 2^{10101120110011} is an apocalyptic number.

10101120110011 is a deficient number, since it is larger than the sum of its proper divisors (3049918169669).

10101120110011 is a wasteful number, since it uses less digits than its factorization.

10101120110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10101120110011 its reverse (11001102110101), we get a palindrome (21102222220112).

The spelling of 10101120110011 in words is "ten trillion, one hundred one billion, one hundred twenty million, one hundred ten thousand, eleven".