110101102102121 has 4 divisors (see below), whose sum is σ = 118570417648452. Its totient is φ = 101631786555792.

The previous prime is 110101102102109. The next prime is 110101102102151. The reversal of 110101102102121 is 121201201101011.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 45132343599721 + 64968758502400 = 6718061^2 + 8060320^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101102102121 - 2¹⁰ = 110101102101097 is a prime.

It is a super-2 number, since 2×110101102102121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110101102102096 and 110101102102105.

It is not an unprimeable number, because it can be changed into a prime (110101102102151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4234657773146 + ... + 4234657773171.

It is an arithmetic number, because the mean of its divisors is an integer number (29642604412113).

Almost surely, 2^{110101102102121} is an apocalyptic number.

It is an amenable number.

110101102102121 is a deficient number, since it is larger than the sum of its proper divisors (8469315546331).

110101102102121 is an equidigital number, since it uses as much as digits as its factorization.

110101102102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8469315546330.

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

Adding to 110101102102121 its reverse (121201201101011), we get a palindrome (231302303203132).

The spelling of 110101102102121 in words is "one hundred ten trillion, one hundred one billion, one hundred two million, one hundred two thousand, one hundred twenty-one".