120121012121121 has 48 divisors (see below), whose sum is σ = 193564230283008. Its totient is φ = 71157538368000.

The previous prime is 120121012121101. The next prime is 120121012121269. The reversal of 120121012121121 is 121121210121021.

It is a happy number.

120121012121121 is a `hidden beast` number, since 1 + 201 + 210 + 1 + 21 + 211 + 21 = 666.

It is not a de Polignac number, because 120121012121121 - 2³⁷ = 119983573167649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120121012121094 and 120121012121103.

It is not an unprimeable number, because it can be changed into a prime (120121012121101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13529080 + ... + 20573721.

It is an arithmetic number, because the mean of its divisors is an integer number (4032588130896).

Almost surely, 2^{120121012121121} is an apocalyptic number.

120121012121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120121012121121 is a deficient number, since it is larger than the sum of its proper divisors (73443218161887).

120121012121121 is a wasteful number, since it uses less digits than its factorization.

120121012121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34103622 (or 34103619 counting only the distinct ones).

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

Adding to 120121012121121 its reverse (121121210121021), we get a palindrome (241242222242142).

It can be divided in two parts, 1201210 and 12121121, that added together give a palindrome (13322331).

The spelling of 120121012121121 in words is "one hundred twenty trillion, one hundred twenty-one billion, twelve million, one hundred twenty-one thousand, one hundred twenty-one".