10001121102073 has 2 divisors, whose sum is σ = 10001121102074. Its totient is φ = 10001121102072.

The previous prime is 10001121102061. The next prime is 10001121102211. The reversal of 10001121102073 is 37020112110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9116462345104 + 884658756969 = 3019348^2 + 940563^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001121102073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001121102073.

It is not a weakly prime, because it can be changed into another prime (10001121102053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000560551036 + 5000560551037.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560551037).

Almost surely, 2^{10001121102073} is an apocalyptic number.

It is an amenable number.

10001121102073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001121102073 is an equidigital number, since it uses as much as digits as its factorization.

10001121102073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 19.

Adding to 10001121102073 its reverse (37020112110001), we get a palindrome (47021233212074).

The spelling of 10001121102073 in words is "ten trillion, one billion, one hundred twenty-one million, one hundred two thousand, seventy-three".