1001103222000 has 240 divisors, whose sum is σ = 3754505937312. Its totient is φ = 228823526400.

The previous prime is 1001103221999. The next prime is 1001103222089. The reversal of 1001103222000 is 2223011001.

1001103222000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1001103222000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408557 + ... + 1996556.

Almost surely, 2^{1001103222000} is an apocalyptic number.

1001103222000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001103222000 is an abundant number, since it is smaller than the sum of its proper divisors (2753402715312).

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

1001103222000 is a wasteful number, since it uses less digits than its factorization.

1001103222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405153 (or 3405130 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1001103222000 its reverse (2223011001), we get a palindrome (1003326233001).

The spelling of 1001103222000 in words is "one trillion, one billion, one hundred three million, two hundred twenty-two thousand".