10011121122253 has 2 divisors, whose sum is σ = 10011121122254. Its totient is φ = 10011121122252.

The previous prime is 10011121122151. The next prime is 10011121122349. The reversal of 10011121122253 is 35222112111001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9976078031049 + 35043091204 = 3158493^2 + 187198^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011121122253 - 2²¹ = 10011119025101 is a prime.

It is a super-2 number, since 2×10011121122253² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011121162253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005560561126 + 5005560561127.

It is an arithmetic number, because the mean of its divisors is an integer number (5005560561127).

Almost surely, 2^{10011121122253} is an apocalyptic number.

It is an amenable number.

10011121122253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011121122253 is an equidigital number, since it uses as much as digits as its factorization.

10011121122253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 10011121122253 its reverse (35222112111001), we get a palindrome (45233233233254).

The spelling of 10011121122253 in words is "ten trillion, eleven billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred fifty-three".