101231311001 has 2 divisors, whose sum is σ = 101231311002. Its totient is φ = 101231311000.

The previous prime is 101231310979. The next prime is 101231311009. The reversal of 101231311001 is 100113132101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70500870400 + 30730440601 = 265520^2 + 175301^2 .

It is a cyclic number.

It is not a de Polignac number, because 101231311001 - 2¹⁴ = 101231294617 is a prime.

It is not a weakly prime, because it can be changed into another prime (101231311009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50615655500 + 50615655501.

It is an arithmetic number, because the mean of its divisors is an integer number (50615655501).

Almost surely, 2^101231311001 is an apocalyptic number.

It is an amenable number.

101231311001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101231311001 is an equidigital number, since it uses as much as digits as its factorization.

101231311001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101231311001 its reverse (100113132101), we get a palindrome (201344443102).

The spelling of 101231311001 in words is "one hundred one billion, two hundred thirty-one million, three hundred eleven thousand, one".