101589071864001 has 8 divisors (see below), whose sum is σ = 135699723052704. Its totient is φ = 67602234292320.

The previous prime is 101589071863997. The next prime is 101589071864009. The reversal of 101589071864001 is 100468170985101.

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

It is not a de Polignac number, because 101589071864001 - 2² = 101589071863997 is a prime.

It is a super-2 number, since 2×101589071864001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101589071864009) 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, 30953402340 + ... + 30953405621.

It is an arithmetic number, because the mean of its divisors is an integer number (16962465381588).

Almost surely, 2^{101589071864001} is an apocalyptic number.

It is an amenable number.

101589071864001 is a deficient number, since it is larger than the sum of its proper divisors (34110651188703).

101589071864001 is an equidigital number, since it uses as much as digits as its factorization.

101589071864001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61906808511.

The product of its (nonzero) digits is 483840, while the sum is 51.

The spelling of 101589071864001 in words is "one hundred one trillion, five hundred eighty-nine billion, seventy-one million, eight hundred sixty-four thousand, one".