10200112002120 has 256 divisors, whose sum is σ = 33363934214400. Its totient is φ = 2484259061760.

The previous prime is 10200112002097. The next prime is 10200112002131. The reversal of 10200112002120 is 2120021100201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200112002096 and 10200112002105.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28428640 + ... + 28785200.

It is an arithmetic number, because the mean of its divisors is an integer number (130327868025).

Almost surely, 2^{10200112002120} is an apocalyptic number.

10200112002120 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 10200112002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681967107200).

10200112002120 is an abundant number, since it is smaller than the sum of its proper divisors (23163822212280).

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

10200112002120 is a wasteful number, since it uses less digits than its factorization.

10200112002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357008 (or 357004 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200112002120 its reverse (2120021100201), we get a palindrome (12320133102321).

The spelling of 10200112002120 in words is "ten trillion, two hundred billion, one hundred twelve million, two thousand, one hundred twenty".