1011062203200 has 504 divisors, whose sum is σ = 4136522120640. Its totient is φ = 229434163200.

The previous prime is 1011062203171. The next prime is 1011062203201. The reversal of 1011062203200 is 23022601101.

1011062203200 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 622 + 0 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011062203201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13975120 + ... + 14047280.

It is an arithmetic number, because the mean of its divisors is an integer number (8207385160).

Almost surely, 2^{1011062203200} is an apocalyptic number.

1011062203200 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 1011062203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068261060320).

1011062203200 is an abundant number, since it is smaller than the sum of its proper divisors (3125459917440).

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

1011062203200 is a wasteful number, since it uses less digits than its factorization.

1011062203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72335 (or 72317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1011062203200 its reverse (23022601101), we get a palindrome (1034084804301).

The spelling of 1011062203200 in words is "one trillion, eleven billion, sixty-two million, two hundred three thousand, two hundred".