121145302011041 has 16 divisors (see below), whose sum is σ = 151040806159488. Its totient is φ = 94397369414400.

The previous prime is 121145302011037. The next prime is 121145302011077. The reversal of 121145302011041 is 140110203541121.

It is a cyclic number.

It is not a de Polignac number, because 121145302011041 - 2² = 121145302011037 is a prime.

It is a super-3 number, since 3×121145302011041³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121145302011041.

It is not an unprimeable number, because it can be changed into a prime (121145302011341) 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 15 ways as a sum of consecutive naturals, for example, 8381240 + ... + 17678681.

It is an arithmetic number, because the mean of its divisors is an integer number (9440050384968).

Almost surely, 2^{121145302011041} is an apocalyptic number.

121145302011041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121145302011041 is a deficient number, since it is larger than the sum of its proper divisors (29895504148447).

121145302011041 is a wasteful number, since it uses less digits than its factorization.

121145302011041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26120312.

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 121145302011041 its reverse (140110203541121), we get a palindrome (261255505552162).

The spelling of 121145302011041 in words is "one hundred twenty-one trillion, one hundred forty-five billion, three hundred two million, eleven thousand, forty-one".