10122122200200 has 48 divisors (see below), whose sum is σ = 31378578822480. Its totient is φ = 2699232586560.

The previous prime is 10122122200159. The next prime is 10122122200207. The reversal of 10122122200200 is 200222122101.

10122122200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122122200200.

It is not an unprimeable number, because it can be changed into a prime (10122122200207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8435101234 + ... + 8435102433.

It is an arithmetic number, because the mean of its divisors is an integer number (653720392135).

Almost surely, 2^{10122122200200} is an apocalyptic number.

10122122200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122122200200 is an abundant number, since it is smaller than the sum of its proper divisors (21256456622280).

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

10122122200200 is a wasteful number, since it uses less digits than its factorization.

10122122200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16870203686 (or 16870203677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10122122200200 its reverse (200222122101), we get a palindrome (10322344322301).

The spelling of 10122122200200 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, two hundred".