1002101202121 has 2 divisors, whose sum is σ = 1002101202122. Its totient is φ = 1002101202120.

The previous prime is 1002101202119. The next prime is 1002101202191. The reversal of 1002101202121 is 1212021012001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001578622521 + 522579600 = 1000789^2 + 22860^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002101202121 - 2¹ = 1002101202119 is a prime.

It is a super-4 number, since 4×1002101202121⁴ (a number of 49 digits) contains 4444 as substring.

Together with 1002101202119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1002101202191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501050601060 + 501050601061.

It is an arithmetic number, because the mean of its divisors is an integer number (501050601061).

Almost surely, 2^{1002101202121} is an apocalyptic number.

It is an amenable number.

1002101202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002101202121 is an equidigital number, since it uses as much as digits as its factorization.

1002101202121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1002101202121 its reverse (1212021012001), we get a palindrome (2214122214122).

The spelling of 1002101202121 in words is "one trillion, two billion, one hundred one million, two hundred two thousand, one hundred twenty-one".