100200000202121 has 2 divisors, whose sum is σ = 100200000202122. Its totient is φ = 100200000202120.

The previous prime is 100200000202109. The next prime is 100200000202123. The reversal of 100200000202121 is 121202000002001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99778622655625 + 421377546496 = 9988925^2 + 649136^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200000202121 - 2²⁶ = 100199933093257 is a prime.

Together with 100200000202123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100200000202123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100000101060 + 50100000101061.

It is an arithmetic number, because the mean of its divisors is an integer number (50100000101061).

Almost surely, 2^{100200000202121} is an apocalyptic number.

It is an amenable number.

100200000202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200000202121 is an equidigital number, since it uses as much as digits as its factorization.

100200000202121 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 11.

Adding to 100200000202121 its reverse (121202000002001), we get a palindrome (221402000204122).

The spelling of 100200000202121 in words is "one hundred trillion, two hundred billion, two hundred two thousand, one hundred twenty-one".