1022300010000 has 600 divisors, whose sum is σ = 3685426504760. Its totient is φ = 264259584000.

The previous prime is 1022300009993. The next prime is 1022300010041. The reversal of 1022300010000 is 100032201.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 1013815389456 + 8484620544 = 1006884^2 + 92112^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1441889646 + ... + 1441890354.

Almost surely, 2^{1022300010000} is an apocalyptic number.

1022300010000 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 1022300010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842713252380).

1022300010000 is an abundant number, since it is smaller than the sum of its proper divisors (2663126494760).

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

1022300010000 is a wasteful number, since it uses less digits than its factorization.

1022300010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1022300010000 its reverse (100032201), we get a palindrome (1022400042201).

The spelling of 1022300010000 in words is "one trillion, twenty-two billion, three hundred million, ten thousand".