101303220231001 has 2 divisors, whose sum is σ = 101303220231002. Its totient is φ = 101303220231000.

The previous prime is 101303220230981. The next prime is 101303220231053. The reversal of 101303220231001 is 100132022303101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92615139752976 + 8688080478025 = 9623676^2 + 2947555^2 .

It is an emirp because it is prime and its reverse (100132022303101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101303220231001 - 2²⁵ = 101303186676569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101303220231001.

It is not a weakly prime, because it can be changed into another prime (101303220291001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50651610115500 + 50651610115501.

It is an arithmetic number, because the mean of its divisors is an integer number (50651610115501).

Almost surely, 2^{101303220231001} is an apocalyptic number.

It is an amenable number.

101303220231001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101303220231001 is an equidigital number, since it uses as much as digits as its factorization.

101303220231001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 101303220231001 its reverse (100132022303101), we get a palindrome (201435242534102).

The spelling of 101303220231001 in words is "one hundred one trillion, three hundred three billion, two hundred twenty million, two hundred thirty-one thousand, one".