20100032100000 has 432 divisors, whose sum is σ = 71505960435000. Its totient is φ = 5355417600000.

The previous prime is 20100032099999. The next prime is 20100032100053. The reversal of 20100032100000 is 123000102.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 11491042344336 + 8608989755664 = 3389844^2 + 2934108^2 .

It is a super-2 number, since 2×20100032100000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1124091060 + ... + 1124108940.

Almost surely, 2^{20100032100000} is an apocalyptic number.

20100032100000 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 20100032100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35752980217500).

20100032100000 is an abundant number, since it is smaller than the sum of its proper divisors (51405928335000).

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

20100032100000 is a wasteful number, since it uses less digits than its factorization.

20100032100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19171 (or 19140 counting only the distinct ones).

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

Adding to 20100032100000 its reverse (123000102), we get a palindrome (20100155100102).

The spelling of 20100032100000 in words is "twenty trillion, one hundred billion, thirty-two million, one hundred thousand".