10200101121 has 24 divisors (see below), whose sum is σ = 17578407840. Its totient is φ = 5828628456.

The previous prime is 10200101117. The next prime is 10200101179. The reversal of 10200101121 is 12110100201.

It is a happy number.

10200101121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10200101121 - 2² = 10200101117 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 (10200101621) 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, 3853591 + ... + 3856236.

It is an arithmetic number, because the mean of its divisors is an integer number (732433660).

Almost surely, 2^10200101121 is an apocalyptic number.

It is an amenable number.

10200101121 is a deficient number, since it is larger than the sum of its proper divisors (7378306719).

10200101121 is an equidigital number, since it uses as much as digits as its factorization.

10200101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709850 (or 7709837 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200101121 its reverse (12110100201), we get a palindrome (22310201322).

The spelling of 10200101121 in words is "ten billion, two hundred million, one hundred one thousand, one hundred twenty-one".