101320201110001 has 8 divisors (see below), whose sum is σ = 101477875602600. Its totient is φ = 101162539885440.

The previous prime is 101320201109957. The next prime is 101320201110013. The reversal of 101320201110001 is 100011102023101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15873841671601 + 85446359438400 = 3984199^2 + 9243720^2 .

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 101320201110001 - 2⁹ = 101320201109489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101320201110031) 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, 12022845 + ... + 18633013.

It is an arithmetic number, because the mean of its divisors is an integer number (12684734450325).

Almost surely, 2^{101320201110001} is an apocalyptic number.

It is an amenable number.

101320201110001 is a deficient number, since it is larger than the sum of its proper divisors (157674492599).

101320201110001 is an equidigital number, since it uses as much as digits as its factorization.

101320201110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6634019.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101320201110001 its reverse (100011102023101), we get a palindrome (201331303133102).

The spelling of 101320201110001 in words is "one hundred one trillion, three hundred twenty billion, two hundred one million, one hundred ten thousand, one".