1101221211100 has 72 divisors (see below), whose sum is σ = 2577957843888. Its totient is φ = 406755148800.

The previous prime is 1101221211091. The next prime is 1101221211131. The reversal of 1101221211100 is 11121221011.

It is a happy number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6021006 + ... + 6201205.

It is an arithmetic number, because the mean of its divisors is an integer number (35804970054).

Almost surely, 2^{1101221211100} is an apocalyptic number.

1101221211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101221211100 is an abundant number, since it is smaller than the sum of its proper divisors (1476736632788).

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

1101221211100 is a wasteful number, since it uses less digits than its factorization.

1101221211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222295 (or 12222288 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1101221211100 its reverse (11121221011), we get a palindrome (1112342432111).

The spelling of 1101221211100 in words is "one trillion, one hundred one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred".