1011032103200 has 144 divisors (see below), whose sum is σ = 2821851514944. Its totient is φ = 346507852800.

The previous prime is 1011032103163. The next prime is 1011032103209. The reversal of 1011032103200 is 23012301101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1011032103209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15316667 + ... + 15382533.

It is an arithmetic number, because the mean of its divisors is an integer number (19596191076).

Almost surely, 2^{1011032103200} is an apocalyptic number.

1011032103200 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 1011032103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410925757472).

1011032103200 is an abundant number, since it is smaller than the sum of its proper divisors (1810819411744).

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

1011032103200 is a wasteful number, since it uses less digits than its factorization.

1011032103200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68635 (or 68622 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1011032103200 its reverse (23012301101), we get a palindrome (1034044404301).

The spelling of 1011032103200 in words is "one trillion, eleven billion, thirty-two million, one hundred three thousand, two hundred".