1301121010200 has 288 divisors, whose sum is σ = 4439169781200. Its totient is φ = 315019161600.

The previous prime is 1301121010193. The next prime is 1301121010223. The reversal of 1301121010200 is 20101211031.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 71 ways as a sum of consecutive naturals, for example, 58722324 + ... + 58744476.

Almost surely, 2^{1301121010200} is an apocalyptic number.

1301121010200 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 1301121010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219584890600).

1301121010200 is an abundant number, since it is smaller than the sum of its proper divisors (3138048771000).

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

1301121010200 is a wasteful number, since it uses less digits than its factorization.

1301121010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23003 (or 22983 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1301121010200 its reverse (20101211031), we get a palindrome (1321222221231).

The spelling of 1301121010200 in words is "one trillion, three hundred one billion, one hundred twenty-one million, ten thousand, two hundred".