10211202102121 has 8 divisors (see below), whose sum is σ = 10358508665160. Its totient is φ = 10064619404928.

The previous prime is 10211202102113. The next prime is 10211202102137. The reversal of 10211202102121 is 12120120211201.

It can be written as a sum of positive squares in 4 ways, for example, as 453144385600 + 9758057716521 = 673160^2 + 3123789^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10211202102121 - 2³ = 10211202102113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211202102095 and 10211202102104.

It is not an unprimeable number, because it can be changed into a prime (10211202102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180938046 + ... + 180994471.

It is an arithmetic number, because the mean of its divisors is an integer number (1294813583145).

Almost surely, 2^{10211202102121} is an apocalyptic number.

It is an amenable number.

10211202102121 is a deficient number, since it is larger than the sum of its proper divisors (147306563039).

10211202102121 is an equidigital number, since it uses as much as digits as its factorization.

10211202102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361932923.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10211202102121 its reverse (12120120211201), we get a palindrome (22331322313322).

The spelling of 10211202102121 in words is "ten trillion, two hundred eleven billion, two hundred two million, one hundred two thousand, one hundred twenty-one".