2031200100000 has 864 divisors, whose sum is σ = 7478040718512. Its totient is φ = 522547200000.

The previous prime is 2031200099983. The next prime is 2031200100029. The reversal of 2031200100000 is 10021302.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 1952290795536 + 78909304464 = 1397244^2 + 280908^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6027299832 + ... + 6027300168.

Almost surely, 2^{2031200100000} is an apocalyptic number.

2031200100000 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 2031200100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739020359256).

2031200100000 is an abundant number, since it is smaller than the sum of its proper divisors (5446840618512).

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

2031200100000 is a wasteful number, since it uses less digits than its factorization.

2031200100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2031200100000 its reverse (10021302), we get a palindrome (2031210121302).

The spelling of 2031200100000 in words is "two trillion, thirty-one billion, two hundred million, one hundred thousand".