10122221200 has 180 divisors, whose sum is σ = 30096490368. Its totient is φ = 3203366400.

The previous prime is 10122221147. The next prime is 10122221203. The reversal of 10122221200 is 212222101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10122221203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 462505 + ... + 483895.

Almost surely, 2^10122221200 is an apocalyptic number.

10122221200 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 10122221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15048245184).

10122221200 is an abundant number, since it is smaller than the sum of its proper divisors (19974269168).

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

10122221200 is a wasteful number, since it uses less digits than its factorization.

10122221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21442 (or 21418 counting only the distinct ones).

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

Adding to 10122221200 its reverse (212222101), we get a palindrome (10334443301).

Subtracting from 10122221200 its reverse (212222101), we obtain a palindrome (9909999099).

The spelling of 10122221200 in words is "ten billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred".