1100021122000 has 80 divisors (see below), whose sum is σ = 2693520460800. Its totient is φ = 434438659200.

The previous prime is 1100021121971. The next prime is 1100021122007. The reversal of 1100021122000 is 2211200011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1100021122000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100021122007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3323080 + ... + 3639079.

It is an arithmetic number, because the mean of its divisors is an integer number (33669005760).

Almost surely, 2^{1100021122000} is an apocalyptic number.

1100021122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100021122000 is an abundant number, since it is smaller than the sum of its proper divisors (1593499338800).

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

1100021122000 is an equidigital number, since it uses as much as digits as its factorization.

1100021122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6962261 (or 6962245 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1100021122000 its reverse (2211200011), we get a palindrome (1102232322011).

The spelling of 1100021122000 in words is "one trillion, one hundred billion, twenty-one million, one hundred twenty-two thousand".