100020121201993 has 2 divisors, whose sum is σ = 100020121201994. Its totient is φ = 100020121201992.

The previous prime is 100020121201961. The next prime is 100020121202051. The reversal of 100020121201993 is 399102121020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62483460003904 + 37536661198089 = 7904648^2 + 6126717^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020121201993 - 2⁵ = 100020121201961 is a prime.

It is a super-2 number, since 2×100020121201993² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100020121201393) 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, 50010060600996 + 50010060600997.

It is an arithmetic number, because the mean of its divisors is an integer number (50010060600997).

Almost surely, 2^{100020121201993} is an apocalyptic number.

It is an amenable number.

100020121201993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020121201993 is an equidigital number, since it uses as much as digits as its factorization.

100020121201993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 31.

Adding to 100020121201993 its reverse (399102121020001), we get a palindrome (499122242221994).

The spelling of 100020121201993 in words is "one hundred trillion, twenty billion, one hundred twenty-one million, two hundred one thousand, nine hundred ninety-three".