10201012020 has 60 divisors (see below), whose sum is σ = 32000957604. Its totient is φ = 2720269440.

The previous prime is 10201012013. The next prime is 10201012067. The reversal of 10201012020 is 2021010201.

It can be written as a sum of positive squares in 2 ways, for example, as 6424663716 + 3776348304 = 80154^2 + 61452^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 10201011993 and 10201012011.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3146841 + ... + 3150080.

Almost surely, 2^10201012020 is an apocalyptic number.

10201012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201012020 is an abundant number, since it is smaller than the sum of its proper divisors (21799945584).

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

10201012020 is a wasteful number, since it uses less digits than its factorization.

10201012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6296942 (or 6296931 counting only the distinct ones).

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

Adding to 10201012020 its reverse (2021010201), we get a palindrome (12222022221).

It can be divided in two parts, 1020101 and 2020, that added together give a square (1022121 = 1011²).

The spelling of 10201012020 in words is "ten billion, two hundred one million, twelve thousand, twenty".