1221121001100 has 1728 divisors, whose sum is σ = 5007631935488. Its totient is φ = 223351603200.

The previous prime is 1221121001099. The next prime is 1221121001119. The reversal of 1221121001100 is 11001211221.

It is a super-2 number, since 2×1221121001100² (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 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 575 ways as a sum of consecutive naturals, for example, 11855543649 + ... + 11855543751.

Almost surely, 2^{1221121001100} is an apocalyptic number.

1221121001100 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 1221121001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503815967744).

1221121001100 is an abundant number, since it is smaller than the sum of its proper divisors (3786510934388).

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

1221121001100 is a wasteful number, since it uses less digits than its factorization.

1221121001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 278 counting only the distinct ones).

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

Adding to 1221121001100 its reverse (11001211221), we get a palindrome (1232122212321).

The spelling of 1221121001100 in words is "one trillion, two hundred twenty-one billion, one hundred twenty-one million, one thousand, one hundred".