101112200111201 has 4 divisors (see below), whose sum is σ = 101112450812100. Its totient is φ = 101111949410304.

The previous prime is 101112200111177. The next prime is 101112200111233. The reversal of 101112200111201 is 102111002211101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 61789016638801 + 39323183472400 = 7860599^2 + 6270820^2 .

It is a cyclic number.

It is not a de Polignac number, because 101112200111201 - 2¹⁸ = 101112199849057 is a prime.

It is a super-2 number, since 2×101112200111201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101112200116201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124744496 + ... + 125552433.

It is an arithmetic number, because the mean of its divisors is an integer number (25278112703025).

Almost surely, 2^{101112200111201} is an apocalyptic number.

It is an amenable number.

101112200111201 is a deficient number, since it is larger than the sum of its proper divisors (250700899).

101112200111201 is an equidigital number, since it uses as much as digits as its factorization.

101112200111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250700898.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101112200111201 its reverse (102111002211101), we get a palindrome (203223202322302).

The spelling of 101112200111201 in words is "one hundred one trillion, one hundred twelve billion, two hundred million, one hundred eleven thousand, two hundred one".