10122221212667 has 2 divisors, whose sum is σ = 10122221212668. Its totient is φ = 10122221212666.

The previous prime is 10122221212657. The next prime is 10122221212703. The reversal of 10122221212667 is 76621212222101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10122221212667 - 2¹⁶ = 10122221147131 is a prime.

It is not a weakly prime, because it can be changed into another prime (10122221212637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061110606333 + 5061110606334.

It is an arithmetic number, because the mean of its divisors is an integer number (5061110606334).

Almost surely, 2^{10122221212667} is an apocalyptic number.

10122221212667 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122221212667 is an equidigital number, since it uses as much as digits as its factorization.

10122221212667 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 35.

Adding to 10122221212667 its reverse (76621212222101), we get a palindrome (86743433434768).

The spelling of 10122221212667 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, six hundred sixty-seven".