120210201001121 has 64 divisors (see below), whose sum is σ = 156979068567552. Its totient is φ = 89318920320000.

The previous prime is 120210201001109. The next prime is 120210201001123. The reversal of 120210201001121 is 121100102012021.

It is not a de Polignac number, because 120210201001121 - 2¹⁸ = 120210200738977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120210201001096 and 120210201001105.

It is not an unprimeable number, because it can be changed into a prime (120210201001123) 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 63 ways as a sum of consecutive naturals, for example, 286715081 + ... + 287134041.

It is an arithmetic number, because the mean of its divisors is an integer number (2452797946368).

Almost surely, 2^{120210201001121} is an apocalyptic number.

120210201001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120210201001121 is a deficient number, since it is larger than the sum of its proper divisors (36768867566431).

120210201001121 is a wasteful number, since it uses less digits than its factorization.

120210201001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420774.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120210201001121 its reverse (121100102012021), we get a palindrome (241310303013142).

The spelling of 120210201001121 in words is "one hundred twenty trillion, two hundred ten billion, two hundred one million, one thousand, one hundred twenty-one".