1021221201000 has 2304 divisors, whose sum is σ = 4541160049920. Its totient is φ = 188697600000.

The previous prime is 1021221200977. The next prime is 1021221201053. The reversal of 1021221201000 is 1021221201.

1021221201000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10111100950 + ... + 10111101050.

It is an arithmetic number, because the mean of its divisors is an integer number (1970989605).

Almost surely, 2^{1021221201000} is an apocalyptic number.

1021221201000 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 1021221201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270580024960).

1021221201000 is an abundant number, since it is smaller than the sum of its proper divisors (3519938848920).

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

1021221201000 is a wasteful number, since it uses less digits than its factorization.

1021221201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

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

Adding to 1021221201000 its reverse (1021221201), we get a palindrome (1022242422201).

1021221201000 divided by its reverse (1021221201) gives a cube (1000 = 10³).

It can be divided in two parts, 1021221 and 201000, that added together give a palindrome (1222221).

The spelling of 1021221201000 in words is "one trillion, twenty-one billion, two hundred twenty-one million, two hundred one thousand".