10120201020 has 192 divisors, whose sum is σ = 32944343040. Its totient is φ = 2574291456.

The previous prime is 10120201019. The next prime is 10120201027. The reversal of 10120201020 is 2010202101.

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 = 10120200993 and 10120201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120201027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5675049 + ... + 5676831.

It is an arithmetic number, because the mean of its divisors is an integer number (171585120).

Almost surely, 2^10120201020 is an apocalyptic number.

10120201020 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 10120201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472171520).

10120201020 is an abundant number, since it is smaller than the sum of its proper divisors (22824142020).

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

10120201020 is a wasteful number, since it uses less digits than its factorization.

10120201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2273 counting only the distinct ones).

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

Adding to 10120201020 its reverse (2010202101), we get a palindrome (12130403121).

The spelling of 10120201020 in words is "ten billion, one hundred twenty million, two hundred one thousand, twenty".