120121121021011 has 32 divisors (see below), whose sum is σ = 135130739818176. Its totient is φ = 105860332800000.

The previous prime is 120121121020969. The next prime is 120121121021107. The reversal of 120121121021011 is 110120121121021.

It is a cyclic number.

It is not a de Polignac number, because 120121121021011 - 2¹⁵ = 120121120988243 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120131121021011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5705661 + ... + 16516561.

It is an arithmetic number, because the mean of its divisors is an integer number (4222835619318).

Almost surely, 2^{120121121021011} is an apocalyptic number.

120121121021011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120121121021011 is a deficient number, since it is larger than the sum of its proper divisors (15009618797165).

120121121021011 is a wasteful number, since it uses less digits than its factorization.

120121121021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10811223.

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

Adding to 120121121021011 its reverse (110120121121021), we get a palindrome (230241242142032).

It can be divided in two parts, 1201211 and 21021011, that added together give a palindrome (22222222).

The spelling of 120121121021011 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-one thousand, eleven".