10012102020 has 144 divisors (see below), whose sum is σ = 30942894528. Its totient is φ = 2619751680.

The previous prime is 10012101977. The next prime is 10012102031. The reversal of 10012102020 is 2020121001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10012101993 and 10012102011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6005227 + ... + 6006893.

It is an arithmetic number, because the mean of its divisors is an integer number (214881212).

Almost surely, 2^10012102020 is an apocalyptic number.

10012102020 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 10012102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15471447264).

10012102020 is an abundant number, since it is smaller than the sum of its proper divisors (20930792508).

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

10012102020 is a wasteful number, since it uses less digits than its factorization.

10012102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10012102020 its reverse (2020121001), we get a palindrome (12032223021).

The spelling of 10012102020 in words is "ten billion, twelve million, one hundred two thousand, twenty".