101965827340911 has 8 divisors (see below), whose sum is σ = 143951756246064. Its totient is φ = 63978558331520.

The previous prime is 101965827340889. The next prime is 101965827340921. The reversal of 101965827340911 is 119043728569101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101965827340911 - 2⁶ = 101965827340847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101965827340921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 999664973880 + ... + 999664973981.

It is an arithmetic number, because the mean of its divisors is an integer number (17993969530758).

It is a 1-persistent number, because it is pandigital, but 2⋅101965827340911 = 203931654681822 is not.

Almost surely, 2^{101965827340911} is an apocalyptic number.

101965827340911 is a deficient number, since it is larger than the sum of its proper divisors (41985928905153).

101965827340911 is a wasteful number, since it uses less digits than its factorization.

101965827340911 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999329947881.

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 101965827340911 in words is "one hundred one trillion, nine hundred sixty-five billion, eight hundred twenty-seven million, three hundred forty thousand, nine hundred eleven".