100100112000121 has 2 divisors, whose sum is σ = 100100112000122. Its totient is φ = 100100112000120.

The previous prime is 100100112000107. The next prime is 100100112000131. The reversal of 100100112000121 is 121000211001001.

It is an a-pointer prime, because the next prime (100100112000131) can be obtained adding 100100112000121 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68220661776400 + 31879450223721 = 8259580^2 + 5646189^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100112000121 - 2¹⁷ = 100100111869049 is a prime.

It is a super-3 number, since 3×100100112000121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100112000098 and 100100112000107.

It is not a weakly prime, because it can be changed into another prime (100100112000131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050056000060 + 50050056000061.

It is an arithmetic number, because the mean of its divisors is an integer number (50050056000061).

Almost surely, 2^{100100112000121} is an apocalyptic number.

It is an amenable number.

100100112000121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100112000121 is an equidigital number, since it uses as much as digits as its factorization.

100100112000121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100100112000121 its reverse (121000211001001), we get a palindrome (221100323001122).

The spelling of 100100112000121 in words is "one hundred trillion, one hundred billion, one hundred twelve million, one hundred twenty-one", and thus it is an aban number.