101022311232001 has 8 divisors (see below), whose sum is σ = 101950197065640. Its totient is φ = 100094444955648.

The previous prime is 101022311231999. The next prime is 101022311232013. The reversal of 101022311232001 is 100232113220101.

It can be written as a sum of positive squares in 4 ways, for example, as 76565657025 + 100945745574976 = 276705^2 + 10047176^2 .

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 101022311232001 - 2¹ = 101022311231999 is a prime.

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 101022311232001.

It is not an unprimeable number, because it can be changed into a prime (101022311239001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5591745 + ... + 15274561.

It is an arithmetic number, because the mean of its divisors is an integer number (12743774633205).

Almost surely, 2^{101022311232001} is an apocalyptic number.

It is an amenable number.

101022311232001 is a deficient number, since it is larger than the sum of its proper divisors (927885833639).

101022311232001 is an equidigital number, since it uses as much as digits as its factorization.

101022311232001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9778643.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101022311232001 its reverse (100232113220101), we get a palindrome (201254424452102).

The spelling of 101022311232001 in words is "one hundred one trillion, twenty-two billion, three hundred eleven million, two hundred thirty-two thousand, one".