1022121000000 has 441 divisors, whose sum is σ = 3673008785667. Its totient is φ = 271756800000.

The previous prime is 1022120999981. The next prime is 1022121000007. The reversal of 1022121000000 is 1212201.

The square root of 1022121000000 is 1011000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 632864798784 + 389256201216 = 795528^2 + 623904^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1022121000007) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3032999832 + ... + 3033000168.

Almost surely, 2^{1022121000000} is an apocalyptic number.

1022121000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022121000000 is the 1011000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022121000000

1022121000000 is an abundant number, since it is smaller than the sum of its proper divisors (2650887785667).

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

1022121000000 is an frugal number, since it uses more digits than its factorization.

1022121000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1022121000000 its reverse (1212201), we get a palindrome (1022122212201).

The spelling of 1022121000000 in words is "one trillion, twenty-two billion, one hundred twenty-one million", and thus it is an aban number.