1022210021000 has 192 divisors, whose sum is σ = 2820623672880. Its totient is φ = 345669811200.

The previous prime is 1022210020991. The next prime is 1022210021003. The reversal of 1022210021000 is 1200122201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 16477829956 + 1005732191044 = 128366^2 + 1002862^2 .

It is not an unprimeable number, because it can be changed into a prime (1022210021003) 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 47 ways as a sum of consecutive naturals, for example, 3434114 + ... + 3719886.

Almost surely, 2^{1022210021000} is an apocalyptic number.

1022210021000 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 1022210021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410311836440).

1022210021000 is an abundant number, since it is smaller than the sum of its proper divisors (1798413651880).

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

1022210021000 is a wasteful number, since it uses less digits than its factorization.

1022210021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285881 (or 285860 counting only the distinct ones).

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

Adding to 1022210021000 its reverse (1200122201), we get a palindrome (1023410143201).

The spelling of 1022210021000 in words is "one trillion, twenty-two billion, two hundred ten million, twenty-one thousand".