2100121120067 has 2 divisors, whose sum is σ = 2100121120068. Its totient is φ = 2100121120066.

The previous prime is 2100121120057. The next prime is 2100121120099. The reversal of 2100121120067 is 7600211210012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2100121120067 - 2⁶ = 2100121120003 is a prime.

It is not a weakly prime, because it can be changed into another prime (2100121120037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050060560033 + 1050060560034.

It is an arithmetic number, because the mean of its divisors is an integer number (1050060560034).

Almost surely, 2^{2100121120067} is an apocalyptic number.

2100121120067 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100121120067 is an equidigital number, since it uses as much as digits as its factorization.

2100121120067 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 2100121120067 its reverse (7600211210012), we get a palindrome (9700332330079).

The spelling of 2100121120067 in words is "two trillion, one hundred billion, one hundred twenty-one million, one hundred twenty thousand, sixty-seven".