10001120120101 has 16 divisors (see below), whose sum is σ = 10931437355328. Its totient is φ = 9074330035200.

The previous prime is 10001120120063. The next prime is 10001120120191. The reversal of 10001120120101 is 10102102110001.

It is a cyclic number.

It is not a de Polignac number, because 10001120120101 - 2²¹ = 10001118022949 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 (10001120120191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31647591 + ... + 31962043.

It is an arithmetic number, because the mean of its divisors is an integer number (683214834708).

Almost surely, 2^{10001120120101} is an apocalyptic number.

10001120120101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001120120101 is a deficient number, since it is larger than the sum of its proper divisors (930317235227).

10001120120101 is a wasteful number, since it uses less digits than its factorization.

10001120120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320052.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001120120101 its reverse (10102102110001), we get a palindrome (20103222230102).

The spelling of 10001120120101 in words is "ten trillion, one billion, one hundred twenty million, one hundred twenty thousand, one hundred one".