101001011001001 has 2 divisors, whose sum is σ = 101001011001002. Its totient is φ = 101001011001000.

The previous prime is 101001011000999. The next prime is 101001011001013. The reversal of 101001011001001 is 100100110100101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75348042105625 + 25652968895376 = 8680325^2 + 5064876^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001011001001 - 2¹ = 101001011000999 is a prime.

Together with 101001011000999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101001011001601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500505500500 + 50500505500501.

It is an arithmetic number, because the mean of its divisors is an integer number (50500505500501).

Almost surely, 2^{101001011001001} is an apocalyptic number.

It is an amenable number.

101001011001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001011001001 is an equidigital number, since it uses as much as digits as its factorization.

101001011001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101001011001001 its reverse (100100110100101), we get a palindrome (201101121101102).

It can be divided in two parts, 10100101 and 1001001, that multiplied together give a palindrome (10110211201101).

The spelling of 101001011001001 in words is "one hundred one trillion, one billion, eleven million, one thousand, one".