10100121000037 has 2 divisors, whose sum is σ = 10100121000038. Its totient is φ = 10100121000036.

The previous prime is 10100121000001. The next prime is 10100121000089. The reversal of 10100121000037 is 73000012100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9485913366241 + 614207633796 = 3079921^2 + 783714^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100121000037 - 2²⁷ = 10099986782309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100121000337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050060500018 + 5050060500019.

It is an arithmetic number, because the mean of its divisors is an integer number (5050060500019).

Almost surely, 2^{10100121000037} is an apocalyptic number.

It is an amenable number.

10100121000037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100121000037 is an equidigital number, since it uses as much as digits as its factorization.

10100121000037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 10100121000037 its reverse (73000012100101), we get a palindrome (83100133100138).

The spelling of 10100121000037 in words is "ten trillion, one hundred billion, one hundred twenty-one million, thirty-seven", and thus it is an aban number.