101159011996801 has 8 divisors (see below), whose sum is σ = 110355697668384. Its totient is φ = 91962394967520.

The previous prime is 101159011996759. The next prime is 101159011996807. The reversal of 101159011996801 is 108699110951101.

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

It is not a de Polignac number, because 101159011996801 - 2¹⁷ = 101159011865729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101159011996807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14054731 + ... + 19996336.

It is an arithmetic number, because the mean of its divisors is an integer number (13794462208548).

Almost surely, 2^{101159011996801} is an apocalyptic number.

101159011996801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101159011996801 is a deficient number, since it is larger than the sum of its proper divisors (9196685671583).

101159011996801 is a wasteful number, since it uses less digits than its factorization.

101159011996801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34321151.

The product of its (nonzero) digits is 174960, while the sum is 52.

The spelling of 101159011996801 in words is "one hundred one trillion, one hundred fifty-nine billion, eleven million, nine hundred ninety-six thousand, eight hundred one".