2100102000967 has 2 divisors, whose sum is σ = 2100102000968. Its totient is φ = 2100102000966.

The previous prime is 2100102000929. The next prime is 2100102001003. The reversal of 2100102000967 is 7690002010012.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2100102000967 - 2¹⁹ = 2100101476679 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100102000907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050051000483 + 1050051000484.

It is an arithmetic number, because the mean of its divisors is an integer number (1050051000484).

Almost surely, 2^{2100102000967} is an apocalyptic number.

2100102000967 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100102000967 is an equidigital number, since it uses as much as digits as its factorization.

2100102000967 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 28.

Adding to 2100102000967 its reverse (7690002010012), we get a palindrome (9790104010979).

The spelling of 2100102000967 in words is "two trillion, one hundred billion, one hundred two million, nine hundred sixty-seven", and thus it is an aban number.