10200003000000 has 392 divisors, whose sum is σ = 36800795193792. Its totient is φ = 2472720000000.

The previous prime is 10200002999959. The next prime is 10200003000037. The reversal of 10200003000000 is 30000201.

10200003000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10200003000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 32845455 + ... + 33154545.

It is an arithmetic number, because the mean of its divisors is an integer number (93879579576).

Almost surely, 2^{10200003000000} is an apocalyptic number.

10200003000000 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 10200003000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400397596896).

10200003000000 is an abundant number, since it is smaller than the sum of its proper divisors (26600792193792).

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

10200003000000 is an frugal number, since it uses more digits than its factorization.

10200003000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309147 (or 309112 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

Adding to 10200003000000 its reverse (30000201), we get a palindrome (10200033000201).

The spelling of 10200003000000 in words is "ten trillion, two hundred billion, three million", and thus it is an aban number.