1002211121100 has 144 divisors (see below), whose sum is σ = 3326299603200. Its totient is φ = 228225112320.

The previous prime is 1002211121081. The next prime is 1002211121113. The reversal of 1002211121100 is 11211122001.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 322170 + ... + 1451969.

It is an arithmetic number, because the mean of its divisors is an integer number (23099302800).

Almost surely, 2^{1002211121100} is an apocalyptic number.

1002211121100 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 1002211121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663149801600).

1002211121100 is an abundant number, since it is smaller than the sum of its proper divisors (2324088482100).

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

1002211121100 is a wasteful number, since it uses less digits than its factorization.

1002211121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774432 (or 1774425 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002211121100 its reverse (11211122001), we get a palindrome (1013422243101).

Subtracting from 1002211121100 its reverse (11211122001), we obtain a palindrome (990999999099).

The spelling of 1002211121100 in words is "one trillion, two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".