100121020202101 has 2 divisors, whose sum is σ = 100121020202102. Its totient is φ = 100121020202100.

The previous prime is 100121020202053. The next prime is 100121020202117. The reversal of 100121020202101 is 101202020121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98960197119876 + 1160823082225 = 9947874^2 + 1077415^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121020202101 - 2³¹ = 100118872718453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121020202141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060510101050 + 50060510101051.

It is an arithmetic number, because the mean of its divisors is an integer number (50060510101051).

Almost surely, 2^{100121020202101} is an apocalyptic number.

It is an amenable number.

100121020202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121020202101 is an equidigital number, since it uses as much as digits as its factorization.

100121020202101 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 100121020202101 its reverse (101202020121001), we get a palindrome (201323040323102).

The spelling of 100121020202101 in words is "one hundred trillion, one hundred twenty-one billion, twenty million, two hundred two thousand, one hundred one".