1221100020100 has 72 divisors (see below), whose sum is σ = 2667939602048. Its totient is φ = 485095392000.

The previous prime is 1221100020067. The next prime is 1221100020191. The reversal of 1221100020100 is 10200011221.

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

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, 111991249 + ... + 112002151.

Almost surely, 2^{1221100020100} is an apocalyptic number.

1221100020100 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 1221100020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333969801024).

1221100020100 is an abundant number, since it is smaller than the sum of its proper divisors (1446839581948).

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

1221100020100 is a wasteful number, since it uses less digits than its factorization.

1221100020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18485 (or 18478 counting only the distinct ones).

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

Adding to 1221100020100 its reverse (10200011221), we get a palindrome (1231300031321).

The spelling of 1221100020100 in words is "one trillion, two hundred twenty-one billion, one hundred million, twenty thousand, one hundred".