1022121100000 has 576 divisors, whose sum is σ = 3377402832384. Its totient is φ = 294048000000.

The previous prime is 1022121099953. The next prime is 1022121100003. The reversal of 1022121100000 is 11212201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1022121100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022121100003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100094895 + ... + 100105105.

It is an arithmetic number, because the mean of its divisors is an integer number (5863546584).

Almost surely, 2^{1022121100000} is an apocalyptic number.

1022121100000 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 1022121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688701416192).

1022121100000 is an abundant number, since it is smaller than the sum of its proper divisors (2355281732384).

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

1022121100000 is a wasteful number, since it uses less digits than its factorization.

1022121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10277 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1022121100000 its reverse (11212201), we get a palindrome (1022132312201).

The spelling of 1022121100000 in words is "one trillion, twenty-two billion, one hundred twenty-one million, one hundred thousand".