10200210220200 has 384 divisors, whose sum is σ = 42455702661120. Its totient is φ = 1956483763200.

The previous prime is 10200210220199. The next prime is 10200210220223. The reversal of 10200210220200 is 202201200201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7891084 + ... + 9092283.

It is an arithmetic number, because the mean of its divisors is an integer number (110561725680).

Almost surely, 2^{10200210220200} is an apocalyptic number.

10200210220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200210220200 is an abundant number, since it is smaller than the sum of its proper divisors (32255492440920).

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

10200210220200 is a wasteful number, since it uses less digits than its factorization.

10200210220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16983417 (or 16983408 counting only the distinct ones).

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

Adding to 10200210220200 its reverse (202201200201), we get a palindrome (10402411420401).

The spelling of 10200210220200 in words is "ten trillion, two hundred billion, two hundred ten million, two hundred twenty thousand, two hundred".