103021001331200 has 480 divisors, whose sum is σ = 271945317600000. Its totient is φ = 38565376819200.

The previous prime is 103021001331089. The next prime is 103021001331253. The reversal of 103021001331200 is 2133100120301.

It is a super-2 number, since 2×103021001331200² (a number of 29 digits) contains 22 as substring.

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, 43267954010 + ... + 43267956390.

It is an arithmetic number, because the mean of its divisors is an integer number (566552745000).

Almost surely, 2^{103021001331200} is an apocalyptic number.

103021001331200 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 103021001331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135972658800000).

103021001331200 is an abundant number, since it is smaller than the sum of its proper divisors (168924316268800).

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

103021001331200 is a wasteful number, since it uses less digits than its factorization.

103021001331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4516 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 103021001331200 its reverse (2133100120301), we get a palindrome (105154101451501).

The spelling of 103021001331200 in words is "one hundred three trillion, twenty-one billion, one million, three hundred thirty-one thousand, two hundred".