101111010001201 has 8 divisors (see below), whose sum is σ = 101513921644520. Its totient is φ = 100708803366912.

The previous prime is 101111010001153. The next prime is 101111010001247. The reversal of 101111010001201 is 102100010111101.

It can be written as a sum of positive squares in 4 ways, for example, as 25931722982400 + 75179287018801 = 5092320^2 + 8670599^2 .

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 101111010001201 - 2¹⁹ = 101111009476913 is a prime.

It is a super-3 number, since 3×101111010001201³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111010001801) 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, 175964850 + ... + 176538523.

It is an arithmetic number, because the mean of its divisors is an integer number (12689240205565).

Almost surely, 2^{101111010001201} is an apocalyptic number.

It is an amenable number.

101111010001201 is a deficient number, since it is larger than the sum of its proper divisors (402911643319).

101111010001201 is an equidigital number, since it uses as much as digits as its factorization.

101111010001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352504515.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101111010001201 its reverse (102100010111101), we get a palindrome (203211020112302).

The spelling of 101111010001201 in words is "one hundred one trillion, one hundred eleven billion, ten million, one thousand, two hundred one".