84993357945101 has 2 divisors, whose sum is σ = 84993357945102. Its totient is φ = 84993357945100.

The previous prime is 84993357945077. The next prime is 84993357945127. The reversal of 84993357945101 is 10154975339948.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84764687487076 + 228670458025 = 9206774^2 + 478195^2 .

It is a cyclic number.

It is not a de Polignac number, because 84993357945101 - 2⁴² = 80595311433997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (84993357945151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42496678972550 + 42496678972551.

It is an arithmetic number, because the mean of its divisors is an integer number (42496678972551).

Almost surely, 2^{84993357945101} is an apocalyptic number.

It is an amenable number.

84993357945101 is a deficient number, since it is larger than the sum of its proper divisors (1).

84993357945101 is an equidigital number, since it uses as much as digits as its factorization.

84993357945101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 146966400, while the sum is 68.

The spelling of 84993357945101 in words is "eighty-four trillion, nine hundred ninety-three billion, three hundred fifty-seven million, nine hundred forty-five thousand, one hundred one".