10721755671167 has 2 divisors, whose sum is σ = 10721755671168. Its totient is φ = 10721755671166.

The previous prime is 10721755671049. The next prime is 10721755671181. The reversal of 10721755671167 is 76117655712701.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10721755671167 - 2¹² = 10721755667071 is a prime.

It is a super-2 number, since 2×10721755671167² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10721755677167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5360877835583 + 5360877835584.

It is an arithmetic number, because the mean of its divisors is an integer number (5360877835584).

Almost surely, 2^{10721755671167} is an apocalyptic number.

10721755671167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10721755671167 is an equidigital number, since it uses as much as digits as its factorization.

10721755671167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4321800, while the sum is 56.

The spelling of 10721755671167 in words is "ten trillion, seven hundred twenty-one billion, seven hundred fifty-five million, six hundred seventy-one thousand, one hundred sixty-seven".