1021101221200 has 60 divisors (see below), whose sum is σ = 2453292797788. Its totient is φ = 408424320000.

The previous prime is 1021101221177. The next prime is 1021101221213. The reversal of 1021101221200 is 21221011201.

It can be written as a sum of positive squares in 6 ways, for example, as 110473805376 + 910627415824 = 332376^2 + 954268^2 .

It is a super-2 number, since 2×1021101221200² (a number of 25 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 19995700 + ... + 20046700.

Almost surely, 2^{1021101221200} is an apocalyptic number.

1021101221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021101221200 is an abundant number, since it is smaller than the sum of its proper divisors (1432191576588).

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

1021101221200 is a wasteful number, since it uses less digits than its factorization.

1021101221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101072 (or 101061 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1021101221200 its reverse (21221011201), we get a palindrome (1042322232401).

The spelling of 1021101221200 in words is "one trillion, twenty-one billion, one hundred one million, two hundred twenty-one thousand, two hundred".