101057111205601 has 8 divisors (see below), whose sum is σ = 101124782688384. Its totient is φ = 100989440771520.

The previous prime is 101057111205577. The next prime is 101057111205637. The reversal of 101057111205601 is 106502111750101.

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 101057111205601 - 2¹¹ = 101057111203553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101057111205901) 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, 337131076 + ... + 337430698.

It is an arithmetic number, because the mean of its divisors is an integer number (12640597836048).

Almost surely, 2^{101057111205601} is an apocalyptic number.

It is an amenable number.

101057111205601 is a deficient number, since it is larger than the sum of its proper divisors (67671482783).

101057111205601 is a wasteful number, since it uses less digits than its factorization.

101057111205601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524351.

The product of its (nonzero) digits is 2100, while the sum is 31.

Adding to 101057111205601 its reverse (106502111750101), we get a palindrome (207559222955702).

The spelling of 101057111205601 in words is "one hundred one trillion, fifty-seven billion, one hundred eleven million, two hundred five thousand, six hundred one".