103301030132100 has 108 divisors (see below), whose sum is σ = 332542457407524. Its totient is φ = 26802429431040.

The previous prime is 103301030132017. The next prime is 103301030132123. The reversal of 103301030132100 is 1231030103301.

It is a happy number.

103301030132100 is a `hidden beast` number, since 1 + 0 + 3 + 30 + 10 + 301 + 321 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2775902538816 + 100525127593284 = 1666104^2 + 10026222^2 .

It is a super-2 number, since 2×103301030132100² (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 35 ways as a sum of consecutive naturals, for example, 1551033219 + ... + 1551099818.

Almost surely, 2^{103301030132100} is an apocalyptic number.

103301030132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103301030132100 is an abundant number, since it is smaller than the sum of its proper divisors (229241427275424).

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

103301030132100 is a wasteful number, since it uses less digits than its factorization.

103301030132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3102133094 (or 3102133084 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103301030132100 its reverse (1231030103301), we get a palindrome (104532060235401).

The spelling of 103301030132100 in words is "one hundred three trillion, three hundred one billion, thirty million, one hundred thirty-two thousand, one hundred".