101951212805 has 32 divisors (see below), whose sum is σ = 141070053600. Its totient is φ = 70062170112.

The previous prime is 101951212751. The next prime is 101951212829. The reversal of 101951212805 is 508212159101.

It is a Cunningham number, because it is equal to 319298²+1.

It can be written as a sum of positive squares in 16 ways, for example, as 26278355236 + 75672857569 = 162106^2 + 275087^2 .

It is a cyclic number.

It is not a de Polignac number, because 101951212805 - 2¹⁶ = 101951147269 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419990 + ... + 616679.

It is an arithmetic number, because the mean of its divisors is an integer number (4408439175).

Almost surely, 2^101951212805 is an apocalyptic number.

It is an amenable number.

101951212805 is a deficient number, since it is larger than the sum of its proper divisors (39118840795).

101951212805 is a wasteful number, since it uses less digits than its factorization.

101951212805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036793.

The product of its (nonzero) digits is 7200, while the sum is 35.

The spelling of 101951212805 in words is "one hundred one billion, nine hundred fifty-one million, two hundred twelve thousand, eight hundred five".