2101166983667 has 2 divisors, whose sum is σ = 2101166983668. Its totient is φ = 2101166983666.

The previous prime is 2101166983661. The next prime is 2101166983673. The reversal of 2101166983667 is 7663896611012.

It is a balanced prime because it is at equal distance from previous prime (2101166983661) and next prime (2101166983673).

It is a cyclic number.

It is not a de Polignac number, because 2101166983667 - 2¹⁰ = 2101166982643 is a prime.

It is not a weakly prime, because it can be changed into another prime (2101166983661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050583491833 + 1050583491834.

It is an arithmetic number, because the mean of its divisors is an integer number (1050583491834).

Almost surely, 2^{2101166983667} is an apocalyptic number.

2101166983667 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101166983667 is an equidigital number, since it uses as much as digits as its factorization.

2101166983667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3919104, while the sum is 56.

The spelling of 2101166983667 in words is "two trillion, one hundred one billion, one hundred sixty-six million, nine hundred eighty-three thousand, six hundred sixty-seven".