101561530406201 has 8 divisors (see below), whose sum is σ = 107567062268904. Its totient is φ = 95559479009280.

The previous prime is 101561530406173. The next prime is 101561530406239. The reversal of 101561530406201 is 102604035165101.

It can be written as a sum of positive squares in 4 ways, for example, as 18241876644601 + 83319653761600 = 4271051^2 + 9127960^2 .

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 101561530406201 - 2⁴⁶ = 31192786228537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101561530406801) 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, 870056360 + ... + 870173081.

It is an arithmetic number, because the mean of its divisors is an integer number (13445882783613).

Almost surely, 2^{101561530406201} is an apocalyptic number.

It is an amenable number.

101561530406201 is a deficient number, since it is larger than the sum of its proper divisors (6005531862703).

101561530406201 is a wasteful number, since it uses less digits than its factorization.

101561530406201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740232891.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 101561530406201 in words is "one hundred one trillion, five hundred sixty-one billion, five hundred thirty million, four hundred six thousand, two hundred one".