1002022121000 has 64 divisors (see below), whose sum is σ = 2347766862480. Its totient is φ = 400290028800.

The previous prime is 1002022120969. The next prime is 1002022121003. The reversal of 1002022121000 is 1212202001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 73778510884 + 928243610116 = 271622^2 + 963454^2 .

It is not an unprimeable number, because it can be changed into a prime (1002022121003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124862 + ... + 1421138.

Almost surely, 2^{1002022121000} is an apocalyptic number.

1002022121000 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 1002022121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173883431240).

1002022121000 is an abundant number, since it is smaller than the sum of its proper divisors (1345744741480).

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

1002022121000 is a wasteful number, since it uses less digits than its factorization.

1002022121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297071 (or 1297057 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1002022121000 its reverse (1212202001), we get a palindrome (1003234323001).

The spelling of 1002022121000 in words is "one trillion, two billion, twenty-two million, one hundred twenty-one thousand".