100212109947967 has 2 divisors, whose sum is σ = 100212109947968. Its totient is φ = 100212109947966.

The previous prime is 100212109947953. The next prime is 100212109948103. The reversal of 100212109947967 is 769749901212001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100212109947967 - 2⁷ = 100212109947839 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100212109947947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50106054973983 + 50106054973984.

It is an arithmetic number, because the mean of its divisors is an integer number (50106054973984).

Almost surely, 2^{100212109947967} is an apocalyptic number.

100212109947967 is a deficient number, since it is larger than the sum of its proper divisors (1).

100212109947967 is an equidigital number, since it uses as much as digits as its factorization.

100212109947967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3429216, while the sum is 58.

The spelling of 100212109947967 in words is "one hundred trillion, two hundred twelve billion, one hundred nine million, nine hundred forty-seven thousand, nine hundred sixty-seven".