120021000220121 has 192 divisors, whose sum is σ = 169957122048000. Its totient is φ = 81766768204800.

The previous prime is 120021000220081. The next prime is 120021000220123. The reversal of 120021000220121 is 121022000120021.

It is not a de Polignac number, because 120021000220121 - 2¹⁴ = 120021000203737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120021000220096 and 120021000220105.

It is not an unprimeable number, because it can be changed into a prime (120021000220123) 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 191 ways as a sum of consecutive naturals, for example, 25816517405 + ... + 25816522053.

It is an arithmetic number, because the mean of its divisors is an integer number (885193344000).

Almost surely, 2^{120021000220121} is an apocalyptic number.

120021000220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120021000220121 is a deficient number, since it is larger than the sum of its proper divisors (49936121827879).

120021000220121 is a wasteful number, since it uses less digits than its factorization.

120021000220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5068 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120021000220121 its reverse (121022000120021), we get a palindrome (241043000340142).

The spelling of 120021000220121 in words is "one hundred twenty trillion, twenty-one billion, two hundred twenty thousand, one hundred twenty-one".