10122122210200 has 384 divisors, whose sum is σ = 31661143557120. Its totient is φ = 2906440243200.

The previous prime is 10122122210173. The next prime is 10122122210209. The reversal of 10122122210200 is 201222122101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122122210209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100650342 + ... + 100750858.

It is an arithmetic number, because the mean of its divisors is an integer number (82450894680).

Almost surely, 2^{10122122210200} is an apocalyptic number.

10122122210200 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 10122122210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15830571778560).

10122122210200 is an abundant number, since it is smaller than the sum of its proper divisors (21539021346920).

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

10122122210200 is a wasteful number, since it uses less digits than its factorization.

10122122210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101067 (or 101058 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122122210200 its reverse (201222122101), we get a palindrome (10323344332301).

The spelling of 10122122210200 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand, two hundred".