100121000111101 has 2 divisors, whose sum is σ = 100121000111102. Its totient is φ = 100121000111100.

The previous prime is 100121000111089. The next prime is 100121000111113. The reversal of 100121000111101 is 101111000121001.

It is a balanced prime because it is at equal distance from previous prime (100121000111089) and next prime (100121000111113).

It can be written as a sum of positive squares in only one way, i.e., 98371702899001 + 1749297212100 = 9918251^2 + 1322610^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121000111101 - 2⁷ = 100121000110973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121000114101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060500055550 + 50060500055551.

It is an arithmetic number, because the mean of its divisors is an integer number (50060500055551).

Almost surely, 2^{100121000111101} is an apocalyptic number.

It is an amenable number.

100121000111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121000111101 is an equidigital number, since it uses as much as digits as its factorization.

100121000111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 100121000111101 its reverse (101111000121001), we get a palindrome (201232000232102).

The spelling of 100121000111101 in words is "one hundred trillion, one hundred twenty-one billion, one hundred eleven thousand, one hundred one".