101231100001 has 2 divisors, whose sum is σ = 101231100002. Its totient is φ = 101231100000.

The previous prime is 101231099999. The next prime is 101231100017. The reversal of 101231100001 is 100001132101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100210233600 + 1020866401 = 316560^2 + 31951^2 .

It is a cyclic number.

It is not a de Polignac number, because 101231100001 - 2¹ = 101231099999 is a prime.

It is a super-3 number, since 3×101231100001³ (a number of 34 digits) contains 333 as substring.

Together with 101231099999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101231106001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50615550000 + 50615550001.

It is an arithmetic number, because the mean of its divisors is an integer number (50615550001).

Almost surely, 2^101231100001 is an apocalyptic number.

It is an amenable number.

101231100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101231100001 is an equidigital number, since it uses as much as digits as its factorization.

101231100001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101231100001 its reverse (100001132101), we get a palindrome (201232232102).

The spelling of 101231100001 in words is "one hundred one billion, two hundred thirty-one million, one hundred thousand, one".