121153351121 has 16 divisors (see below), whose sum is σ = 140044059648. Its totient is φ = 103584902400.

The previous prime is 121153351051. The next prime is 121153351133.

It is a happy number.

121153351121 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 121153351121 - 2²⁶ = 121086242257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121153353121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20816 + ... + 492686.

It is an arithmetic number, because the mean of its divisors is an integer number (8752753728).

Almost surely, 2^121153351121 is an apocalyptic number.

121153351121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121153351121 is a deficient number, since it is larger than the sum of its proper divisors (18890708527).

121153351121 is a wasteful number, since it uses less digits than its factorization.

121153351121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473272.

The product of its digits is 900, while the sum is 26.

It can be divided in two parts, 121153 and 351121, that added together give a palindrome (472274).

The spelling of 121153351121 in words is "one hundred twenty-one billion, one hundred fifty-three million, three hundred fifty-one thousand, one hundred twenty-one".