1001100072121 has 2 divisors, whose sum is σ = 1001100072122. Its totient is φ = 1001100072120.

The previous prime is 1001100072067. The next prime is 1001100072131. The reversal of 1001100072121 is 1212700011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 913957032121 + 87143040000 = 956011^2 + 295200^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100072121 - 2²¹ = 1001097974969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001100072095 and 1001100072104.

It is not a weakly prime, because it can be changed into another prime (1001100072131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550036060 + 500550036061.

It is an arithmetic number, because the mean of its divisors is an integer number (500550036061).

Almost surely, 2^{1001100072121} is an apocalyptic number.

It is an amenable number.

1001100072121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100072121 is an equidigital number, since it uses as much as digits as its factorization.

1001100072121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28, while the sum is 16.

Adding to 1001100072121 its reverse (1212700011001), we get a palindrome (2213800083122).

The spelling of 1001100072121 in words is "one trillion, one billion, one hundred million, seventy-two thousand, one hundred twenty-one".