110715242121 has 45 divisors (see below), whose sum is σ = 181845798519. Its totient is φ = 67080182400.

The previous prime is 110715242111. The next prime is 110715242147. The reversal of 110715242121 is 121242517011.

The square root of 110715242121 is 332739.

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

110715242121 is a `hidden beast` number, since 1 + 10 + 7 + 1 + 524 + 2 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83052899721 + 27662342400 = 288189^2 + 166320^2 .

It is a de Polignac number, because none of the positive numbers 2^k-110715242121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (110715242111) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32939481 + ... + 32942841.

Almost surely, 2^110715242121 is an apocalyptic number.

110715242121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110715242121 is the 332739-th square number.

110715242121 is the 166370-th centered octagonal number.

It is an amenable number.

110715242121 is a deficient number, since it is larger than the sum of its proper divisors (71130556398).

110715242121 is an frugal number, since it uses more digits than its factorization.

110715242121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 110715242121 its reverse (121242517011), we get a palindrome (231957759132).

It can be divided in two parts, 110715 and 242121, that added together give a square (352836 = 594²).

The spelling of 110715242121 in words is "one hundred ten billion, seven hundred fifteen million, two hundred forty-two thousand, one hundred twenty-one".