101120002201121 has 2 divisors, whose sum is σ = 101120002201122. Its totient is φ = 101120002201120.

The previous prime is 101120002201103. The next prime is 101120002201189. The reversal of 101120002201121 is 121102200021101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95830296597025 + 5289705604096 = 9789295^2 + 2299936^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120002201121 - 2¹⁰ = 101120002200097 is a prime.

It is a super-3 number, since 3×101120002201121³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101120002201096 and 101120002201105.

It is not a weakly prime, because it can be changed into another prime (101120002207121) 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, 50560001100560 + 50560001100561.

It is an arithmetic number, because the mean of its divisors is an integer number (50560001100561).

Almost surely, 2^{101120002201121} is an apocalyptic number.

It is an amenable number.

101120002201121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120002201121 is an equidigital number, since it uses as much as digits as its factorization.

101120002201121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 101120002201121 its reverse (121102200021101), we get a palindrome (222222202222222).

The spelling of 101120002201121 in words is "one hundred one trillion, one hundred twenty billion, two million, two hundred one thousand, one hundred twenty-one".