1021221122000 has 80 divisors (see below), whose sum is σ = 2472510869712. Its totient is φ = 407959385600.

The previous prime is 1021221121997. The next prime is 1021221122023. The reversal of 1021221122000 is 2211221201.

It can be written as a sum of positive squares in 8 ways, for example, as 648256860736 + 372964261264 = 805144^2 + 610708^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1215722 + ... + 1876278.

Almost surely, 2^{1021221122000} is an apocalyptic number.

1021221122000 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 1021221122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236255434856).

1021221122000 is an abundant number, since it is smaller than the sum of its proper divisors (1451289747712).

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

1021221122000 is an equidigital number, since it uses as much as digits as its factorization.

1021221122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661353 (or 661337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1021221122000 its reverse (2211221201), we get a palindrome (1023432343201).

The spelling of 1021221122000 in words is "one trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty-two thousand".