10200122210200 has 96 divisors (see below), whose sum is σ = 25958218098960. Its totient is φ = 3704457945600.

The previous prime is 10200122210197. The next prime is 10200122210209. The reversal of 10200122210200 is 201222100201.

It is a happy number.

10200122210200 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 (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200122210209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31998154 + ... + 32315353.

Almost surely, 2^{10200122210200} is an apocalyptic number.

10200122210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200122210200 is an abundant number, since it is smaller than the sum of its proper divisors (15758095888760).

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

10200122210200 is a wasteful number, since it uses less digits than its factorization.

10200122210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64313597 (or 64313588 counting only the distinct ones).

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

Adding to 10200122210200 its reverse (201222100201), we get a palindrome (10401344310401).

The spelling of 10200122210200 in words is "ten trillion, two hundred billion, one hundred twenty-two million, two hundred ten thousand, two hundred".