1012121222200 has 576 divisors, whose sum is σ = 2747847564000. Its totient is φ = 345945600000.

The previous prime is 1012121222141. The next prime is 1012121222227. The reversal of 1012121222200 is 22221212101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7726116135 + ... + 7726116265.

Almost surely, 2^{1012121222200} is an apocalyptic number.

1012121222200 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 1012121222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373923782000).

1012121222200 is an abundant number, since it is smaller than the sum of its proper divisors (1735726341800).

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

1012121222200 is a wasteful number, since it uses less digits than its factorization.

1012121222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

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

Adding to 1012121222200 its reverse (22221212101), we get a palindrome (1034342434301).

It can be divided in two parts, 1012121 and 222200, that added together give a palindrome (1234321).

The spelling of 1012121222200 in words is "one trillion, twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred".