1021201220000 has 240 divisors, whose sum is σ = 2864725800552. Its totient is φ = 354877440000.

The previous prime is 1021201219981. The next prime is 1021201220021. The reversal of 1021201220000 is 221021201.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 165776008336 + 855425211664 = 407156^2 + 924892^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4304480 + ... + 4535520.

Almost surely, 2^{1021201220000} is an apocalyptic number.

1021201220000 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 1021201220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432362900276).

1021201220000 is an abundant number, since it is smaller than the sum of its proper divisors (1843524580552).

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

1021201220000 is a wasteful number, since it uses less digits than its factorization.

1021201220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231101 (or 231078 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1021201220000 its reverse (221021201), we get a palindrome (1021422241201).

The spelling of 1021201220000 in words is "one trillion, twenty-one billion, two hundred one million, two hundred twenty thousand".