10121002202101 has 6 divisors (see below), whose sum is σ = 11773410724950. Its totient is φ = 8675144744616.

The previous prime is 10121002202083. The next prime is 10121002202123. The reversal of 10121002202101 is 10120220012101.

It can be written as a sum of positive squares in only one way, i.e., 10106047358001 + 14954844100 = 3179001^2 + 122290^2 .

It is not a de Polignac number, because 10121002202101 - 2³⁹ = 9571246388213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121002202501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103275532626 + ... + 103275532723.

It is an arithmetic number, because the mean of its divisors is an integer number (1962235120825).

Almost surely, 2^{10121002202101} is an apocalyptic number.

It is an amenable number.

10121002202101 is a deficient number, since it is larger than the sum of its proper divisors (1652408522849).

10121002202101 is an equidigital number, since it uses as much as digits as its factorization.

10121002202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206551065363 (or 206551065356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10121002202101 its reverse (10120220012101), we get a palindrome (20241222214202).

The spelling of 10121002202101 in words is "ten trillion, one hundred twenty-one billion, two million, two hundred two thousand, one hundred one".