10200200022012 has 720 divisors, whose sum is σ = 33691908362112. Its totient is φ = 2379042731520.

The previous prime is 10200200022011. The next prime is 10200200022029. The reversal of 10200200022012 is 21022000200201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200200022011) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1981773223 + ... + 1981778369.

Almost surely, 2^{10200200022012} is an apocalyptic number.

10200200022012 is a gapful number since it is divisible by the number (12) 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 10200200022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16845954181056).

10200200022012 is an abundant number, since it is smaller than the sum of its proper divisors (23491708340100).

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

10200200022012 is a wasteful number, since it uses less digits than its factorization.

10200200022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10200200022012 its reverse (21022000200201), we get a palindrome (31222200222213).

The spelling of 10200200022012 in words is "ten trillion, two hundred billion, two hundred million, twenty-two thousand, twelve".