1221011000100 has 432 divisors, whose sum is σ = 4035497867856. Its totient is φ = 308385792000.

The previous prime is 1221011000089. The next prime is 1221011000113. The reversal of 1221011000100 is 10001101221.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 162009470016 + 1059001530084 = 402504^2 + 1029078^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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 143 ways as a sum of consecutive naturals, for example, 924307440 + ... + 924308760.

Almost surely, 2^{1221011000100} is an apocalyptic number.

1221011000100 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 1221011000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017748933928).

1221011000100 is an abundant number, since it is smaller than the sum of its proper divisors (2814486867756).

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

1221011000100 is a wasteful number, since it uses less digits than its factorization.

1221011000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1221011000100 its reverse (10001101221), we get a palindrome (1231012101321).

The spelling of 1221011000100 in words is "one trillion, two hundred twenty-one billion, eleven million, one hundred", and thus it is an aban number.