10202012200120 has 256 divisors, whose sum is σ = 25279441165440. Its totient is φ = 3682844540928.

The previous prime is 10202012200117. The next prime is 10202012200207. The reversal of 10202012200120 is 2100221020201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 10202012200120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1640983252 + ... + 1640989468.

Almost surely, 2^{10202012200120} is an apocalyptic number.

10202012200120 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 10202012200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12639720582720).

10202012200120 is an abundant number, since it is smaller than the sum of its proper divisors (15077428965320).

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

10202012200120 is a wasteful number, since it uses less digits than its factorization.

10202012200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6714 (or 6710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10202012200120 its reverse (2100221020201), we get a palindrome (12302233220321).

The spelling of 10202012200120 in words is "ten trillion, two hundred two billion, twelve million, two hundred thousand, one hundred twenty".