10200010102200 has 288 divisors, whose sum is σ = 35166429829440. Its totient is φ = 2647920844800.

The previous prime is 10200010102193. The next prime is 10200010102229. The reversal of 10200010102200 is 220101000201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34020144 + ... + 34318656.

It is an arithmetic number, because the mean of its divisors is an integer number (122105659130).

Almost surely, 2^{10200010102200} is an apocalyptic number.

10200010102200 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 10200010102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17583214914720).

10200010102200 is an abundant number, since it is smaller than the sum of its proper divisors (24966419727240).

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

10200010102200 is a wasteful number, since it uses less digits than its factorization.

10200010102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299039 (or 299027 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10200010102200 its reverse (220101000201), we get a palindrome (10420111102401).

The spelling of 10200010102200 in words is "ten trillion, two hundred billion, ten million, one hundred two thousand, two hundred".