1002122121000 has 1536 divisors, whose sum is σ = 4417033420800. Its totient is φ = 183718656000.

The previous prime is 1002122120963. The next prime is 1002122121001. The reversal of 1002122121000 is 1212212001.

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

It is not an unprimeable number, because it can be changed into a prime (1002122121001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 759758341 + ... + 759759659.

It is an arithmetic number, because the mean of its divisors is an integer number (2875672800).

Almost surely, 2^{1002122121000} is an apocalyptic number.

1002122121000 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 1002122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208516710400).

1002122121000 is an abundant number, since it is smaller than the sum of its proper divisors (3414911299800).

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

1002122121000 is a wasteful number, since it uses less digits than its factorization.

1002122121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1383 counting only the distinct ones).

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

Adding to 1002122121000 its reverse (1212212001), we get a palindrome (1003334333001).

The spelling of 1002122121000 in words is "one trillion, two billion, one hundred twenty-two million, one hundred twenty-one thousand".