10001210211137 has 2 divisors, whose sum is σ = 10001210211138. Its totient is φ = 10001210211136.

The previous prime is 10001210211059. The next prime is 10001210211149. The reversal of 10001210211137 is 73111201210001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5921440426801 + 4079769784336 = 2433401^2 + 2019844^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001210211137 - 2²⁰ = 10001209162561 is a prime.

It is a super-2 number, since 2×10001210211137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10001210211437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000605105568 + 5000605105569.

It is an arithmetic number, because the mean of its divisors is an integer number (5000605105569).

Almost surely, 2^{10001210211137} is an apocalyptic number.

It is an amenable number.

10001210211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001210211137 is an equidigital number, since it uses as much as digits as its factorization.

10001210211137 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 20.

Adding to 10001210211137 its reverse (73111201210001), we get a palindrome (83112411421138).

The spelling of 10001210211137 in words is "ten trillion, one billion, two hundred ten million, two hundred eleven thousand, one hundred thirty-seven".