100121201221037 has 2 divisors, whose sum is σ = 100121201221038. Its totient is φ = 100121201221036.

The previous prime is 100121201221007. The next prime is 100121201221057. The reversal of 100121201221037 is 730122102121001.

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., 90453243297481 + 9667957923556 = 9510691^2 + 3109334^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121201221037 - 2¹⁸ = 100121200958893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121201221007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060600610518 + 50060600610519.

It is an arithmetic number, because the mean of its divisors is an integer number (50060600610519).

Almost surely, 2^{100121201221037} is an apocalyptic number.

It is an amenable number.

100121201221037 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121201221037 is an equidigital number, since it uses as much as digits as its factorization.

100121201221037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 100121201221037 its reverse (730122102121001), we get a palindrome (830243303342038).

The spelling of 100121201221037 in words is "one hundred trillion, one hundred twenty-one billion, two hundred one million, two hundred twenty-one thousand, thirty-seven".