67991101000101 has 12 divisors (see below), whose sum is σ = 98210238559212. Its totient is φ = 45326998921536.

The previous prime is 67991101000091. The next prime is 67991101000159. The reversal of 67991101000101 is 10100010119976.

It can be written as a sum of positive squares in 2 ways, for example, as 66670327736100 + 1320773264001 = 8165190^2 + 1149249^2 .

It is not a de Polignac number, because 67991101000101 - 2¹⁹ = 67991100475813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67991101000201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32405106 + ... + 34439411.

It is an arithmetic number, because the mean of its divisors is an integer number (8184186546601).

Almost surely, 2^{67991101000101} is an apocalyptic number.

It is an amenable number.

67991101000101 is a deficient number, since it is larger than the sum of its proper divisors (30219137559111).

67991101000101 is a wasteful number, since it uses less digits than its factorization.

67991101000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66957540 (or 66957537 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 36.

The spelling of 67991101000101 in words is "sixty-seven trillion, nine hundred ninety-one billion, one hundred one million, one hundred one", and thus it is an aban number.