103021000320210 has 384 divisors, whose sum is σ = 307237170216960. Its totient is φ = 21978531187200.

The previous prime is 103021000320097. The next prime is 103021000320211. The reversal of 103021000320210 is 12023000120301.

It is a super-2 number, since 2×103021000320210² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103021000320210.

It is not an unprimeable number, because it can be changed into a prime (103021000320211) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2917019472 + ... + 2917054788.

It is an arithmetic number, because the mean of its divisors is an integer number (800096797440).

Almost surely, 2^{103021000320210} is an apocalyptic number.

103021000320210 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 103021000320210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153618585108480).

103021000320210 is an abundant number, since it is smaller than the sum of its proper divisors (204216169896750).

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

103021000320210 is a wasteful number, since it uses less digits than its factorization.

103021000320210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36902 (or 36895 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103021000320210 its reverse (12023000120301), we get a palindrome (115044000440511).

The spelling of 103021000320210 in words is "one hundred three trillion, twenty-one billion, three hundred twenty thousand, two hundred ten".