67000101010121 has 2 divisors, whose sum is σ = 67000101010122. Its totient is φ = 67000101010120.

The previous prime is 67000101010099. The next prime is 67000101010123. The reversal of 67000101010121 is 12101010100076.

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., 50378693862025 + 16621407148096 = 7097795^2 + 4076936^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67000101010121 is a prime.

Together with 67000101010123, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 67000101010093 and 67000101010102.

It is not a weakly prime, because it can be changed into another prime (67000101010123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33500050505060 + 33500050505061.

It is an arithmetic number, because the mean of its divisors is an integer number (33500050505061).

Almost surely, 2^{67000101010121} is an apocalyptic number.

It is an amenable number.

67000101010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

67000101010121 is an equidigital number, since it uses as much as digits as its factorization.

67000101010121 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 67000101010121 its reverse (12101010100076), we get a palindrome (79101111110197).

The spelling of 67000101010121 in words is "sixty-seven trillion, one hundred one million, ten thousand, one hundred twenty-one".