10001120001121 has 2 divisors, whose sum is σ = 10001120001122. Its totient is φ = 10001120001120.

The previous prime is 10001120001091. The next prime is 10001120001167. The reversal of 10001120001121 is 12110002110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9698795975521 + 302324025600 = 3114289^2 + 549840^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001120001121 - 2⁴³ = 1205026978913 is a prime.

It is a super-2 number, since 2×10001120001121² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001120001098 and 10001120001107.

It is not a weakly prime, because it can be changed into another prime (10001120001181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000560000560 + 5000560000561.

It is an arithmetic number, because the mean of its divisors is an integer number (5000560000561).

Almost surely, 2^{10001120001121} is an apocalyptic number.

It is an amenable number.

10001120001121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001120001121 is an equidigital number, since it uses as much as digits as its factorization.

10001120001121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001120001121 its reverse (12110002110001), we get a palindrome (22111122111122).

The spelling of 10001120001121 in words is "ten trillion, one billion, one hundred twenty million, one thousand, one hundred twenty-one".