10121210111137 has 2 divisors, whose sum is σ = 10121210111138. Its totient is φ = 10121210111136.

The previous prime is 10121210111099. The next prime is 10121210111141. The reversal of 10121210111137 is 73111101212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10036724550241 + 84485560896 = 3168079^2 + 290664^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121210111137 - 2³⁵ = 10086850372769 is a prime.

It is a super-2 number, since 2×10121210111137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10121210111737) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060605055568 + 5060605055569.

It is an arithmetic number, because the mean of its divisors is an integer number (5060605055569).

Almost surely, 2^{10121210111137} is an apocalyptic number.

It is an amenable number.

10121210111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121210111137 is an equidigital number, since it uses as much as digits as its factorization.

10121210111137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 22.

Adding to 10121210111137 its reverse (73111101212101), we get a palindrome (83232311323238).

The spelling of 10121210111137 in words is "ten trillion, one hundred twenty-one billion, two hundred ten million, one hundred eleven thousand, one hundred thirty-seven".