10120120001101 has 24 divisors (see below), whose sum is σ = 11278319433920. Its totient is φ = 9072333357120.

The previous prime is 10120120001087. The next prime is 10120120001111. The reversal of 10120120001101 is 10110002102101.

It is a de Polignac number, because none of the positive numbers 2^k-10120120001101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120120001111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46910440 + ... + 47125678.

Almost surely, 2^{10120120001101} is an apocalyptic number.

10120120001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120120001101 is a deficient number, since it is larger than the sum of its proper divisors (1158199432819).

10120120001101 is a wasteful number, since it uses less digits than its factorization.

10120120001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220657 (or 220646 counting only the distinct ones).

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

Adding to 10120120001101 its reverse (10110002102101), we get a palindrome (20230122103202).

The spelling of 10120120001101 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, one thousand, one hundred one".