10200002120000 has 560 divisors, whose sum is σ = 31846930220160. Its totient is φ = 3147648000000.

The previous prime is 10200002119999. The next prime is 10200002120027. The reversal of 10200002120000 is 2120000201.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10200002120000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 311063606 + ... + 311096394.

Almost surely, 2^{10200002120000} is an apocalyptic number.

10200002120000 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 10200002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15923465110080).

10200002120000 is an abundant number, since it is smaller than the sum of its proper divisors (21646928100160).

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

10200002120000 is a wasteful number, since it uses less digits than its factorization.

10200002120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32940 (or 32915 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10200002120000 its reverse (2120000201), we get a palindrome (10202122120201).

The spelling of 10200002120000 in words is "ten trillion, two hundred billion, two million, one hundred twenty thousand".