10201021020 has 144 divisors (see below), whose sum is σ = 32843210400. Its totient is φ = 2554011648.

The previous prime is 10201021001. The next prime is 10201021049. The reversal of 10201021020 is 2012010201.

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 = 10201020993 and 10201021011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1321131 + ... + 1328829.

It is an arithmetic number, because the mean of its divisors is an integer number (228077850).

Almost surely, 2^10201021020 is an apocalyptic number.

10201021020 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 10201021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16421605200).

10201021020 is an abundant number, since it is smaller than the sum of its proper divisors (22642189380).

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

10201021020 is a wasteful number, since it uses less digits than its factorization.

10201021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8164 (or 8159 counting only the distinct ones).

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

Adding to 10201021020 its reverse (2012010201), we get a palindrome (12213031221).

The spelling of 10201021020 in words is "ten billion, two hundred one million, twenty-one thousand, twenty".