101011105601 has 16 divisors (see below), whose sum is σ = 123809904000. Its totient is φ = 80476426368.

The previous prime is 101011105571. The next prime is 101011105603. The reversal of 101011105601 is 106501110101.

It is a cyclic number.

It is not a de Polignac number, because 101011105601 - 2⁶ = 101011105537 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011105601.

It is not an unprimeable number, because it can be changed into a prime (101011105603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7157876 + ... + 7171973.

It is an arithmetic number, because the mean of its divisors is an integer number (7738119000).

Almost surely, 2^101011105601 is an apocalyptic number.

It is an amenable number.

101011105601 is a deficient number, since it is larger than the sum of its proper divisors (22798798399).

101011105601 is a wasteful number, since it uses less digits than its factorization.

101011105601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14329928.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 101011105601 its reverse (106501110101), we get a palindrome (207512215702).

The spelling of 101011105601 in words is "one hundred one billion, eleven million, one hundred five thousand, six hundred one".