2031302120100 has 576 divisors, whose sum is σ = 6960394506240. Its totient is φ = 452011622400.

The previous prime is 2031302120053. The next prime is 2031302120161. The reversal of 2031302120100 is 10212031302.

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 2031302120100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 596212597 + ... + 596216003.

It is an arithmetic number, because the mean of its divisors is an integer number (12084018240).

Almost surely, 2^{2031302120100} is an apocalyptic number.

2031302120100 is a gapful number since it is divisible by the number (20) 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 2031302120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3480197253120).

2031302120100 is an abundant number, since it is smaller than the sum of its proper divisors (4929092386140).

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

2031302120100 is a wasteful number, since it uses less digits than its factorization.

2031302120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3741 counting only the distinct ones).

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

Adding to 2031302120100 its reverse (10212031302), we get a palindrome (2041514151402).

The spelling of 2031302120100 in words is "two trillion, thirty-one billion, three hundred two million, one hundred twenty thousand, one hundred".