10012200021120 has 384 divisors, whose sum is σ = 35089613737920. Its totient is φ = 2426458890240.

The previous prime is 10012200021119. The next prime is 10012200021121. The reversal of 10012200021120 is 2112000221001.

It is an interprime number because it is at equal distance from previous prime (10012200021119) and next prime (10012200021121).

It is a tau number, because it is divible by the number of its divisors (384).

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 = 10012200021096 and 10012200021105.

It is not an unprimeable number, because it can be changed into a prime (10012200021121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424815047 + ... + 1424822073.

Almost surely, 2^{10012200021120} is an apocalyptic number.

10012200021120 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 10012200021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17544806868960).

10012200021120 is an abundant number, since it is smaller than the sum of its proper divisors (25077413716800).

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

10012200021120 is a wasteful number, since it uses less digits than its factorization.

10012200021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13204 (or 13181 counting only the distinct ones).

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

Adding to 10012200021120 its reverse (2112000221001), we get a palindrome (12124200242121).

The spelling of 10012200021120 in words is "ten trillion, twelve billion, two hundred million, twenty-one thousand, one hundred twenty".