10020210120 has 384 divisors, whose sum is σ = 35582976000. Its totient is φ = 2437102080.

The previous prime is 10020210041. The next prime is 10020210121. The reversal of 10020210120 is 2101202001.

It is a super-2 number, since 2×10020210120² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10020210121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22824861 + ... + 22825299.

It is an arithmetic number, because the mean of its divisors is an integer number (92664000).

Almost surely, 2^10020210120 is an apocalyptic number.

10020210120 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 10020210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17791488000).

10020210120 is an abundant number, since it is smaller than the sum of its proper divisors (25562765880).

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

10020210120 is a wasteful number, since it uses less digits than its factorization.

10020210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 586 counting only the distinct ones).

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

Adding to 10020210120 its reverse (2101202001), we get a palindrome (12121412121).

The spelling of 10020210120 in words is "ten billion, twenty million, two hundred ten thousand, one hundred twenty".