103021302032100 has 216 divisors, whose sum is σ = 324618517434120. Its totient is φ = 27327407063040.

The previous prime is 103021302031997. The next prime is 103021302032111. The reversal of 103021302032100 is 1230203120301.

103021302032100 is a `hidden beast` number, since 1 + 0 + 302 + 130 + 20 + 3 + 210 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 11386899304704 + 91634402727396 = 3374448^2 + 9572586^2 .

It is a super-2 number, since 2×103021302032100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2433342132 + ... + 2433384468.

Almost surely, 2^{103021302032100} is an apocalyptic number.

103021302032100 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 103021302032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162309258717060).

103021302032100 is an abundant number, since it is smaller than the sum of its proper divisors (221597215402020).

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

103021302032100 is a wasteful number, since it uses less digits than its factorization.

103021302032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56559 (or 56549 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103021302032100 its reverse (1230203120301), we get a palindrome (104251505152401).

The spelling of 103021302032100 in words is "one hundred three trillion, twenty-one billion, three hundred two million, thirty-two thousand, one hundred".