105553423012001 has 2 divisors, whose sum is σ = 105553423012002. Its totient is φ = 105553423012000.

The previous prime is 105553423011977. The next prime is 105553423012031. The reversal of 105553423012001 is 100210324355501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70712559173776 + 34840863838225 = 8409076^2 + 5902615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105553423012001 is a prime.

It is a super-2 number, since 2×105553423012001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105553423012031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52776711506000 + 52776711506001.

It is an arithmetic number, because the mean of its divisors is an integer number (52776711506001).

Almost surely, 2^{105553423012001} is an apocalyptic number.

It is an amenable number.

105553423012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105553423012001 is an equidigital number, since it uses as much as digits as its factorization.

105553423012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 105553423012001 its reverse (100210324355501), we get a palindrome (205763747367502).

The spelling of 105553423012001 in words is "one hundred five trillion, five hundred fifty-three billion, four hundred twenty-three million, twelve thousand, one".