120211011122121 has 12 divisors (see below), whose sum is σ = 173650882670148. Its totient is φ = 80134786930464.

The previous prime is 120211011122101. The next prime is 120211011122141. The reversal of 120211011122121 is 121221110112021.

It is a happy number.

120211011122121 is a `hidden beast` number, since 1 + 202 + 110 + 111 + 221 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (120211011122101) and next prime (120211011122141).

It can be written as a sum of positive squares in 2 ways, for example, as 54633326142096 + 65577684980025 = 7391436^2 + 8098005^2 .

It is not a de Polignac number, because 120211011122121 - 2¹⁵ = 120211011089353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120211011122094 and 120211011122103.

It is not an unprimeable number, because it can be changed into a prime (120211011122101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490466590 + ... + 490711623.

It is an arithmetic number, because the mean of its divisors is an integer number (14470906889179).

Almost surely, 2^{120211011122121} is an apocalyptic number.

It is an amenable number.

120211011122121 is a deficient number, since it is larger than the sum of its proper divisors (53439871548027).

120211011122121 is a wasteful number, since it uses less digits than its factorization.

120211011122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981191832 (or 981191829 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 120211011122121 its reverse (121221110112021), we get a palindrome (241432121234142).

The spelling of 120211011122121 in words is "one hundred twenty trillion, two hundred eleven billion, eleven million, one hundred twenty-two thousand, one hundred twenty-one".