110210100202121 has 24 divisors (see below), whose sum is σ = 117321105748440. Its totient is φ = 103508795750400.

The previous prime is 110210100202073. The next prime is 110210100202141. The reversal of 110210100202121 is 121202001012011.

It can be written as a sum of positive squares in 12 ways, for example, as 47787633379600 + 62422466822521 = 6912860^2 + 7900789^2 .

It is not a de Polignac number, because 110210100202121 - 2⁴² = 105812053691017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110210100202096 and 110210100202105.

It is not an unprimeable number, because it can be changed into a prime (110210100202141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 267670991 + ... + 268082411.

It is an arithmetic number, because the mean of its divisors is an integer number (4888379406185).

Almost surely, 2^{110210100202121} is an apocalyptic number.

It is an amenable number.

110210100202121 is a deficient number, since it is larger than the sum of its proper divisors (7111005546319).

110210100202121 is a wasteful number, since it uses less digits than its factorization.

110210100202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413405 (or 413388 counting only the distinct ones).

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

Adding to 110210100202121 its reverse (121202001012011), we get a palindrome (231412101214132).

The spelling of 110210100202121 in words is "one hundred ten trillion, two hundred ten billion, one hundred million, two hundred two thousand, one hundred twenty-one".