100011121007101 has 2 divisors, whose sum is σ = 100011121007102. Its totient is φ = 100011121007100.

The previous prime is 100011121007089. The next prime is 100011121007111. The reversal of 100011121007101 is 101700121110001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88477557875001 + 11533563132100 = 9406251^2 + 3396110^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011121007101 - 2¹³ = 100011120998909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011121007111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005560503550 + 50005560503551.

It is an arithmetic number, because the mean of its divisors is an integer number (50005560503551).

Almost surely, 2^{100011121007101} is an apocalyptic number.

It is an amenable number.

100011121007101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011121007101 is an equidigital number, since it uses as much as digits as its factorization.

100011121007101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14, while the sum is 16.

Adding to 100011121007101 its reverse (101700121110001), we get a palindrome (201711242117102).

The spelling of 100011121007101 in words is "one hundred trillion, eleven billion, one hundred twenty-one million, seven thousand, one hundred one".