103020200010 has 768 divisors, whose sum is σ = 369281203200. Its totient is φ = 19313344512.

The previous prime is 103020199999. The next prime is 103020200033. The reversal of 103020200010 is 10002020301.

It is a happy number.

It is a super-2 number, since 2×103020200010² (a number of 23 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103020199965 and 103020200001.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 166969222 + ... + 166969838.

It is an arithmetic number, because the mean of its divisors is an integer number (480834900).

Almost surely, 2^103020200010 is an apocalyptic number.

103020200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103020200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184640601600).

103020200010 is an abundant number, since it is smaller than the sum of its proper divisors (266261003190).

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

103020200010 is a wasteful number, since it uses less digits than its factorization.

103020200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 103020200010 its reverse (10002020301), we get a palindrome (113022220311).

The spelling of 103020200010 in words is "one hundred three billion, twenty million, two hundred thousand, ten".