1001021221200 has 1920 divisors, whose sum is σ = 4485536907264. Its totient is φ = 184135680000.

The previous prime is 1001021221181. The next prime is 1001021221283. The reversal of 1001021221200 is 21221201001.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4488884289 + ... + 4488884511.

Almost surely, 2^{1001021221200} is an apocalyptic number.

1001021221200 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 1001021221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242768453632).

1001021221200 is an abundant number, since it is smaller than the sum of its proper divisors (3484515686064).

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

1001021221200 is a wasteful number, since it uses less digits than its factorization.

1001021221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1001021221200 its reverse (21221201001), we get a palindrome (1022242422201).

It can be divided in two parts, 1001021 and 221200, that added together give a palindrome (1222221).

The spelling of 1001021221200 in words is "one trillion, one billion, twenty-one million, two hundred twenty-one thousand, two hundred".