1010222121200 has 120 divisors (see below), whose sum is σ = 2438810424000. Its totient is φ = 402134548480.

The previous prime is 1010222121197. The next prime is 1010222121283. The reversal of 1010222121200 is 21212220101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217296476 + ... + 217301124.

It is an arithmetic number, because the mean of its divisors is an integer number (20323420200).

Almost surely, 2^{1010222121200} is an apocalyptic number.

1010222121200 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 1010222121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219405212000).

1010222121200 is an abundant number, since it is smaller than the sum of its proper divisors (1428588302800).

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

1010222121200 is a wasteful number, since it uses less digits than its factorization.

1010222121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7179 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1010222121200 its reverse (21212220101), we get a palindrome (1031434341301).

It can be divided in two parts, 101022 and 2121200, that added together give a palindrome (2222222).

The spelling of 1010222121200 in words is "one trillion, ten billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred".