10011112121057 has 2 divisors, whose sum is σ = 10011112121058. Its totient is φ = 10011112121056.

The previous prime is 10011112121029. The next prime is 10011112121123. The reversal of 10011112121057 is 75012121111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5310992184481 + 4700119936576 = 2304559^2 + 2167976^2 .

It is an emirp because it is prime and its reverse (75012121111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011112121057 - 2²⁶ = 10011045012193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10011112121357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005556060528 + 5005556060529.

It is an arithmetic number, because the mean of its divisors is an integer number (5005556060529).

Almost surely, 2^{10011112121057} is an apocalyptic number.

It is an amenable number.

10011112121057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011112121057 is an equidigital number, since it uses as much as digits as its factorization.

10011112121057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 140, while the sum is 23.

Adding to 10011112121057 its reverse (75012121111001), we get a palindrome (85023233232058).

The spelling of 10011112121057 in words is "ten trillion, eleven billion, one hundred twelve million, one hundred twenty-one thousand, fifty-seven".