121110025 has 27 divisors (see below), whose sum is σ = 157393479. Its totient is φ = 92442000.

The previous prime is 121109959. The next prime is 121110037. The reversal of 121110025 is 520011121.

The square root of 121110025 is 11005.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43599609 + 77510416 = 6603^2 + 8804^2 .

It is not a de Polignac number, because 121110025 - 2¹¹ = 121107977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121109987 and 121110014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1705740 + ... + 1705810.

Almost surely, 2^121110025 is an apocalyptic number.

121110025 is the 11005-th square number.

121110025 is the 5503-rd centered octagonal number.

It is an amenable number.

121110025 is a deficient number, since it is larger than the sum of its proper divisors (36283454).

121110025 is an frugal number, since it uses more digits than its factorization.

121110025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The cubic root of 121110025 is about 494.7586144102.

Adding to 121110025 its reverse (520011121), we get a palindrome (641121146).

It can be divided in two parts, 1211 and 10025, that added together give a square (11236 = 106²).

The spelling of 121110025 in words is "one hundred twenty-one million, one hundred ten thousand, twenty-five".