202010101102121 has 16 divisors (see below), whose sum is σ = 218823323223120. Its totient is φ = 185379038933760.

The previous prime is 202010101102087. The next prime is 202010101102223. The reversal of 202010101102121 is 121201101010202.

It can be written as a sum of positive squares in 8 ways, for example, as 57670901586496 + 144339199515625 = 7594136^2 + 12014125^2 .

It is a cyclic number.

It is not a de Polignac number, because 202010101102121 - 2³⁴ = 201992921232937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202010101102096 and 202010101102105.

It is not an unprimeable number, because it can be changed into a prime (202010101102421) 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 15 ways as a sum of consecutive naturals, for example, 26557451 + ... + 33306431.

It is an arithmetic number, because the mean of its divisors is an integer number (13676457701445).

Almost surely, 2^{202010101102121} is an apocalyptic number.

It is an amenable number.

202010101102121 is a deficient number, since it is larger than the sum of its proper divisors (16813222120999).

202010101102121 is a wasteful number, since it uses less digits than its factorization.

202010101102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762476.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202010101102121 its reverse (121201101010202), we get a palindrome (323211202112323).

The spelling of 202010101102121 in words is "two hundred two trillion, ten billion, one hundred one million, one hundred two thousand, one hundred twenty-one".