100121102211127 has 2 divisors, whose sum is σ = 100121102211128. Its totient is φ = 100121102211126.

The previous prime is 100121102211047. The next prime is 100121102211187. The reversal of 100121102211127 is 721112201121001.

It is a strong prime.

It is an emirp because it is prime and its reverse (721112201121001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100121102211127 is a prime.

It is a super-2 number, since 2×100121102211127² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121102211098 and 100121102211107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100121102211187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060551105563 + 50060551105564.

It is an arithmetic number, because the mean of its divisors is an integer number (50060551105564).

Almost surely, 2^{100121102211127} is an apocalyptic number.

100121102211127 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121102211127 is an equidigital number, since it uses as much as digits as its factorization.

100121102211127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 22.

Adding to 100121102211127 its reverse (721112201121001), we get a palindrome (821233303332128).

The spelling of 100121102211127 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, two hundred eleven thousand, one hundred twenty-seven".