101232210121001 has 2 divisors, whose sum is σ = 101232210121002. Its totient is φ = 101232210121000.

The previous prime is 101232210120929. The next prime is 101232210121013. The reversal of 101232210121001 is 100121012232101.

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., 91059306250000 + 10172903871001 = 9542500^2 + 3189499^2 .

It is a cyclic number.

It is not a de Polignac number, because 101232210121001 - 2²² = 101232205926697 is a prime.

It is a super-2 number, since 2×101232210121001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101232210121901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50616105060500 + 50616105060501.

It is an arithmetic number, because the mean of its divisors is an integer number (50616105060501).

Almost surely, 2^{101232210121001} is an apocalyptic number.

It is an amenable number.

101232210121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101232210121001 is an equidigital number, since it uses as much as digits as its factorization.

101232210121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101232210121001 its reverse (100121012232101), we get a palindrome (201353222353102).

The spelling of 101232210121001 in words is "one hundred one trillion, two hundred thirty-two billion, two hundred ten million, one hundred twenty-one thousand, one".