1102131121001 has 2 divisors, whose sum is σ = 1102131121002. Its totient is φ = 1102131121000.

The previous prime is 1102131120971. The next prime is 1102131121027. The reversal of 1102131121001 is 1001211312011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1071848160601 + 30282960400 = 1035301^2 + 174020^2 .

It is an emirp because it is prime and its reverse (1001211312011) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1102131121001 is a prime.

It is not a weakly prime, because it can be changed into another prime (1102131121051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551065560500 + 551065560501.

It is an arithmetic number, because the mean of its divisors is an integer number (551065560501).

Almost surely, 2^{1102131121001} is an apocalyptic number.

It is an amenable number.

1102131121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102131121001 is an equidigital number, since it uses as much as digits as its factorization.

1102131121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 1102131121001 its reverse (1001211312011), we get a palindrome (2103342433012).

The spelling of 1102131121001 in words is "one trillion, one hundred two billion, one hundred thirty-one million, one hundred twenty-one thousand, one".