100302023131100 has 108 divisors (see below), whose sum is σ = 253364519492280. Its totient is φ = 34365692188800.

The previous prime is 100302023131099. The next prime is 100302023131111. The reversal of 100302023131100 is 1131320203001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134090 + ... + 14164110.

Almost surely, 2^{100302023131100} is an apocalyptic number.

100302023131100 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 100302023131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126682259746140).

100302023131100 is an abundant number, since it is smaller than the sum of its proper divisors (153062496361180).

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

100302023131100 is a wasteful number, since it uses less digits than its factorization.

100302023131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14031508 (or 14031494 counting only the distinct ones).

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

Adding to 100302023131100 its reverse (1131320203001), we get a palindrome (101433343334101).

The spelling of 100302023131100 in words is "one hundred trillion, three hundred two billion, twenty-three million, one hundred thirty-one thousand, one hundred".