100200020121121 has 2 divisors, whose sum is σ = 100200020121122. Its totient is φ = 100200020121120.

The previous prime is 100200020121119. The next prime is 100200020121133. The reversal of 100200020121121 is 121121020002001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93281599897600 + 6918420223521 = 9658240^2 + 2630289^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200020121121 - 2¹ = 100200020121119 is a prime.

Together with 100200020121119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100200020128121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100010060560 + 50100010060561.

It is an arithmetic number, because the mean of its divisors is an integer number (50100010060561).

Almost surely, 2^{100200020121121} is an apocalyptic number.

It is an amenable number.

100200020121121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200020121121 is an equidigital number, since it uses as much as digits as its factorization.

100200020121121 is an evil number, because the sum of its binary digits is even.

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

Adding to 100200020121121 its reverse (121121020002001), we get a palindrome (221321040123122).

The spelling of 100200020121121 in words is "one hundred trillion, two hundred billion, twenty million, one hundred twenty-one thousand, one hundred twenty-one".