2102100100967 has 2 divisors, whose sum is σ = 2102100100968. Its totient is φ = 2102100100966.

The previous prime is 2102100100963. The next prime is 2102100101009. The reversal of 2102100100967 is 7690010012012.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2102100100967 - 2² = 2102100100963 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102100100963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1051050050483 + 1051050050484.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050050484).

Almost surely, 2^{2102100100967} is an apocalyptic number.

2102100100967 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102100100967 is an equidigital number, since it uses as much as digits as its factorization.

2102100100967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 29.

Adding to 2102100100967 its reverse (7690010012012), we get a palindrome (9792110112979).

The spelling of 2102100100967 in words is "two trillion, one hundred two billion, one hundred million, one hundred thousand, nine hundred sixty-seven".