101110200211121 has 2 divisors, whose sum is σ = 101110200211122. Its totient is φ = 101110200211120.

The previous prime is 101110200211003. The next prime is 101110200211129. The reversal of 101110200211121 is 121112002011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98702238010000 + 2407962201121 = 9934900^2 + 1551761^2 .

It is a cyclic number.

It is not a de Polignac number, because 101110200211121 - 2¹⁸ = 101110199948977 is a prime.

It is a super-2 number, since 2×101110200211121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110200211096 and 101110200211105.

It is not a weakly prime, because it can be changed into another prime (101110200211129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555100105560 + 50555100105561.

It is an arithmetic number, because the mean of its divisors is an integer number (50555100105561).

Almost surely, 2^{101110200211121} is an apocalyptic number.

It is an amenable number.

101110200211121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110200211121 is an equidigital number, since it uses as much as digits as its factorization.

101110200211121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101110200211121 its reverse (121112002011101), we get a palindrome (222222202222222).

The spelling of 101110200211121 in words is "one hundred one trillion, one hundred ten billion, two hundred million, two hundred eleven thousand, one hundred twenty-one".