10200000000000 has 624 divisors, whose sum is σ = 35995605321312. Its totient is φ = 2560000000000.

The previous prime is 10199999999963. The next prime is 10200000000007. The reversal of 10200000000000 is 201.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200000000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599999999992 + ... + 600000000008.

It is an arithmetic number, because the mean of its divisors is an integer number (57685264938).

Almost surely, 2^{10200000000000} is an apocalyptic number.

10200000000000 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 10200000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17997802660656).

10200000000000 is an abundant number, since it is smaller than the sum of its proper divisors (25795605321312).

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

10200000000000 is an frugal number, since it uses more digits than its factorization.

10200000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 3.

Adding to 10200000000000 its reverse (201), we get a palindrome (10200000000201).

The spelling of 10200000000000 in words is "ten trillion, two hundred billion", and thus it is an aban number.