1101201010001 has 2 divisors, whose sum is σ = 1101201010002. Its totient is φ = 1101201010000.

The previous prime is 1101201009943. The next prime is 1101201010003. The reversal of 1101201010001 is 1000101021011.

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., 990375270976 + 110825739025 = 995176^2 + 332905^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101201010001 - 2¹⁴ = 1101200993617 is a prime.

Together with 1101201010003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1101201010003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550600505000 + 550600505001.

It is an arithmetic number, because the mean of its divisors is an integer number (550600505001).

Almost surely, 2^{1101201010001} is an apocalyptic number.

It is an amenable number.

1101201010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101201010001 is an equidigital number, since it uses as much as digits as its factorization.

1101201010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1101201010001 its reverse (1000101021011), we get a palindrome (2101302031012).

It can be divided in two parts, 11012010 and 10001, that added together give a palindrome (11022011).

The spelling of 1101201010001 in words is "one trillion, one hundred one billion, two hundred one million, ten thousand, one".