101111500601 has 16 divisors (see below), whose sum is σ = 107291777040. Its totient is φ = 95117137920.

The previous prime is 101111500597. The next prime is 101111500619. The reversal of 101111500601 is 106005111101.

It can be written as a sum of positive squares in 8 ways, for example, as 9759376 + 101101741225 = 3124^2 + 317965^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111500601 - 2² = 101111500597 is a prime.

It is a super-2 number, since 2×101111500601² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101111500601.

It is not an unprimeable number, because it can be changed into a prime (101111500681) 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, 843905 + ... + 956241.

It is an arithmetic number, because the mean of its divisors is an integer number (6705736065).

Almost surely, 2^101111500601 is an apocalyptic number.

It is an amenable number.

101111500601 is a deficient number, since it is larger than the sum of its proper divisors (6180276439).

101111500601 is a wasteful number, since it uses less digits than its factorization.

101111500601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113164.

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

Adding to 101111500601 its reverse (106005111101), we get a palindrome (207116611702).

The spelling of 101111500601 in words is "one hundred one billion, one hundred eleven million, five hundred thousand, six hundred one".