102401133001 has 2 divisors, whose sum is σ = 102401133002. Its totient is φ = 102401133000.

The previous prime is 102401132963. The next prime is 102401133011. The reversal of 102401133001 is 100331104201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95972942025 + 6428190976 = 309795^2 + 80176^2 .

It is a cyclic number.

It is not a de Polignac number, because 102401133001 - 2¹⁷ = 102401001929 is a prime.

It is not a weakly prime, because it can be changed into another prime (102401133011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51200566500 + 51200566501.

It is an arithmetic number, because the mean of its divisors is an integer number (51200566501).

Almost surely, 2^102401133001 is an apocalyptic number.

It is an amenable number.

102401133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102401133001 is an equidigital number, since it uses as much as digits as its factorization.

102401133001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102401133001 its reverse (100331104201), we get a palindrome (202732237202).

The spelling of 102401133001 in words is "one hundred two billion, four hundred one million, one hundred thirty-three thousand, one".