202102102121 has 8 divisors (see below), whose sum is σ = 203243640360. Its totient is φ = 200963722752.

The previous prime is 202102102109. The next prime is 202102102123. The reversal of 202102102121 is 121201201202.

202102102121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 22782883600 + 179319218521 = 150940^2 + 423461^2 .

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 202102102121 - 2¹⁸ = 202101839977 is a prime.

It is a super-2 number, since 2×202102102121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 202102102096 and 202102102105.

It is not an unprimeable number, because it can be changed into a prime (202102102123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661340 + ... + 917373.

It is an arithmetic number, because the mean of its divisors is an integer number (25405455045).

Almost surely, 2^202102102121 is an apocalyptic number.

It is an amenable number.

202102102121 is a deficient number, since it is larger than the sum of its proper divisors (1141538239).

202102102121 is a wasteful number, since it uses less digits than its factorization.

202102102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579435.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 202102102121 its reverse (121201201202), we get a palindrome (323303303323).

The spelling of 202102102121 in words is "two hundred two billion, one hundred two million, one hundred two thousand, one hundred twenty-one".