101105200001 has 16 divisors (see below), whose sum is σ = 112305355344. Its totient is φ = 90415678464.

The previous prime is 101105199989. The next prime is 101105200037. The reversal of 101105200001 is 100002501101.

It can be written as a sum of positive squares in 8 ways, for example, as 23306602225 + 77798597776 = 152665^2 + 278924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101105200001 is a prime.

It is a super-2 number, since 2×101105200001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101105200501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338996 + ... + 563141.

It is an arithmetic number, because the mean of its divisors is an integer number (7019084709).

Almost surely, 2^101105200001 is an apocalyptic number.

It is an amenable number.

101105200001 is a deficient number, since it is larger than the sum of its proper divisors (11200155343).

101105200001 is a wasteful number, since it uses less digits than its factorization.

101105200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902420.

The product of its (nonzero) digits is 10, while the sum is 11.

Adding to 101105200001 its reverse (100002501101), we get a palindrome (201107701102).

The spelling of 101105200001 in words is "one hundred one billion, one hundred five million, two hundred thousand, one".