120201102000020 has 48 divisors (see below), whose sum is σ = 253510857604368. Its totient is φ = 47873107645440.

The previous prime is 120201102000013. The next prime is 120201102000073. The reversal of 120201102000020 is 20000201102021.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7285443112336 + 112915658887684 = 2699156^2 + 10626178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 120201101999965 and 120201102000010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253812650 + ... + 254285790.

It is an arithmetic number, because the mean of its divisors is an integer number (5281476200091).

Almost surely, 2^{120201102000020} is an apocalyptic number.

120201102000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201102000020 is an abundant number, since it is smaller than the sum of its proper divisors (133309755604348).

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

120201102000020 is a wasteful number, since it uses less digits than its factorization.

120201102000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527900 (or 527898 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 120201102000020 its reverse (20000201102021), we get a palindrome (140201303102041).

The spelling of 120201102000020 in words is "one hundred twenty trillion, two hundred one billion, one hundred two million, twenty", and thus it is an aban number.