101566042409 has 8 divisors (see below), whose sum is σ = 109383060360. Its totient is φ = 93749630976.

The previous prime is 101566042381. The next prime is 101566042423. The reversal of 101566042409 is 904240665101.

It can be written as a sum of positive squares in 4 ways, for example, as 2139340009 + 99426702400 = 46253^2 + 315320^2 .

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 101566042409 - 2²⁴ = 101549265193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101566042489) 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, 232169 + ... + 506985.

It is an arithmetic number, because the mean of its divisors is an integer number (13672882545).

Almost surely, 2^101566042409 is an apocalyptic number.

It is an amenable number.

101566042409 is a deficient number, since it is larger than the sum of its proper divisors (7817017951).

101566042409 is a wasteful number, since it uses less digits than its factorization.

101566042409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303259.

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 101566042409 in words is "one hundred one billion, five hundred sixty-six million, forty-two thousand, four hundred nine".