101110210221121 has 2 divisors, whose sum is σ = 101110210221122. Its totient is φ = 101110210221120.

The previous prime is 101110210221017. The next prime is 101110210221173. The reversal of 101110210221121 is 121122012011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66390539545521 + 34719670675600 = 8148039^2 + 5892340^2 .

It is an emirp because it is prime and its reverse (121122012011101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101110210221121 - 2³⁹ = 100560454407233 is a prime.

It is a super-2 number, since 2×101110210221121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101110210221095 and 101110210221104.

It is not a weakly prime, because it can be changed into another prime (101110210221191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555105110560 + 50555105110561.

It is an arithmetic number, because the mean of its divisors is an integer number (50555105110561).

Almost surely, 2^{101110210221121} is an apocalyptic number.

It is an amenable number.

101110210221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110210221121 is an equidigital number, since it uses as much as digits as its factorization.

101110210221121 is an evil number, because the sum of its binary digits is even.

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

Adding to 101110210221121 its reverse (121122012011101), we get a palindrome (222232222232222).

The spelling of 101110210221121 in words is "one hundred one trillion, one hundred ten billion, two hundred ten million, two hundred twenty-one thousand, one hundred twenty-one".