10112200101121 has 2 divisors, whose sum is σ = 10112200101122. Its totient is φ = 10112200101120.

The previous prime is 10112200101097. The next prime is 10112200101131. The reversal of 10112200101121 is 12110100221101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9301280040000 + 810920061121 = 3049800^2 + 900511^2 .

It is an emirp because it is prime and its reverse (12110100221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112200101121 - 2³⁵ = 10077840362753 is a prime.

It is a super-2 number, since 2×10112200101121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10112200101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056100050560 + 5056100050561.

It is an arithmetic number, because the mean of its divisors is an integer number (5056100050561).

Almost surely, 2^{10112200101121} is an apocalyptic number.

It is an amenable number.

10112200101121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112200101121 is an equidigital number, since it uses as much as digits as its factorization.

10112200101121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10112200101121 its reverse (12110100221101), we get a palindrome (22222300322222).

The spelling of 10112200101121 in words is "ten trillion, one hundred twelve billion, two hundred million, one hundred one thousand, one hundred twenty-one".