10121112832541 has 2 divisors, whose sum is σ = 10121112832542. Its totient is φ = 10121112832540.

The previous prime is 10121112832507. The next prime is 10121112832559. The reversal of 10121112832541 is 14523821112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10037149077316 + 83963755225 = 3168146^2 + 289765^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10121112832541 is a prime.

It is a super-2 number, since 2×10121112832541² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121112832498 and 10121112832507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121112837541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060556416270 + 5060556416271.

It is an arithmetic number, because the mean of its divisors is an integer number (5060556416271).

Almost surely, 2^{10121112832541} is an apocalyptic number.

It is an amenable number.

10121112832541 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121112832541 is an equidigital number, since it uses as much as digits as its factorization.

10121112832541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 32.

Adding to 10121112832541 its reverse (14523821112101), we get a palindrome (24644933944642).

The spelling of 10121112832541 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, eight hundred thirty-two thousand, five hundred forty-one".