10121101122001 has 2 divisors, whose sum is σ = 10121101122002. Its totient is φ = 10121101122000.

The previous prime is 10121101121969. The next prime is 10121101122037. The reversal of 10121101122001 is 10022110112101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9164272835025 + 956828286976 = 3027255^2 + 978176^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121101122001 - 2⁵ = 10121101121969 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121101120001) 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, 5060550561000 + 5060550561001.

It is an arithmetic number, because the mean of its divisors is an integer number (5060550561001).

Almost surely, 2^{10121101122001} is an apocalyptic number.

It is an amenable number.

10121101122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121101122001 is an equidigital number, since it uses as much as digits as its factorization.

10121101122001 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 10121101122001 its reverse (10022110112101), we get a palindrome (20143211234102).

The spelling of 10121101122001 in words is "ten trillion, one hundred twenty-one billion, one hundred one million, one hundred twenty-two thousand, one".