120221012100020 has 96 divisors (see below), whose sum is σ = 281290413398400. Its totient is φ = 42853961654784.

The previous prime is 120221012099977. The next prime is 120221012100067. The reversal of 120221012100020 is 20001210122021.

It is a junction number, because it is equal to n+sod(n) for n = 120221012099968 and 120221012100004.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68707571 + ... + 70435589.

It is an arithmetic number, because the mean of its divisors is an integer number (2930108472900).

Almost surely, 2^{120221012100020} is an apocalyptic number.

120221012100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120221012100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140645206699200).

120221012100020 is an abundant number, since it is smaller than the sum of its proper divisors (161069401298380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120221012100020 is a wasteful number, since it uses less digits than its factorization.

120221012100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737297 (or 1737295 counting only the distinct ones).

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

Adding to 120221012100020 its reverse (20001210122021), we get a palindrome (140222222222041).

The spelling of 120221012100020 in words is "one hundred twenty trillion, two hundred twenty-one billion, twelve million, one hundred thousand, twenty".