2032100100000 has 432 divisors, whose sum is σ = 7647959546136. Its totient is φ = 510013440000.

The previous prime is 2032100099987. The next prime is 2032100100007. The reversal of 2032100100000 is 10012302.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1027879656336 + 1004220443664 = 1013844^2 + 1002108^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2032100100007) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 15233592 + ... + 15366408.

Almost surely, 2^{2032100100000} is an apocalyptic number.

2032100100000 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 2032100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823979773068).

2032100100000 is an abundant number, since it is smaller than the sum of its proper divisors (5615859446136).

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

2032100100000 is a wasteful number, since it uses less digits than its factorization.

2032100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132875 (or 132844 counting only the distinct ones).

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

Adding to 2032100100000 its reverse (10012302), we get a palindrome (2032110112302).

The spelling of 2032100100000 in words is "two trillion, thirty-two billion, one hundred million, one hundred thousand".