10032120102020 has 12 divisors (see below), whose sum is σ = 21067452214284. Its totient is φ = 4012848040800.

The previous prime is 10032120101933. The next prime is 10032120102071. The reversal of 10032120102020 is 2020102123001.

It is a happy number.

10032120102020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1779507976324 + 8252612125696 = 1333982^2 + 2872736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10032120101986 and 10032120102004.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 250803002531 + ... + 250803002570.

It is an arithmetic number, because the mean of its divisors is an integer number (1755621017857).

Almost surely, 2^{10032120102020} is an apocalyptic number.

10032120102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032120102020 is an abundant number, since it is smaller than the sum of its proper divisors (11035332112264).

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

10032120102020 is a wasteful number, since it uses less digits than its factorization.

10032120102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501606005110 (or 501606005108 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10032120102020 its reverse (2020102123001), we get a palindrome (12052222225021).

The spelling of 10032120102020 in words is "ten trillion, thirty-two billion, one hundred twenty million, one hundred two thousand, twenty".