10001221101100 has 36 divisors (see below), whose sum is σ = 21917527532208. Its totient is φ = 3960879640000.

The previous prime is 10001221101097. The next prime is 10001221101163. The reversal of 10001221101100 is 110112210001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 495099856 + ... + 495120055.

It is an arithmetic number, because the mean of its divisors is an integer number (608820209228).

Almost surely, 2^{10001221101100} is an apocalyptic number.

10001221101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001221101100 is an abundant number, since it is smaller than the sum of its proper divisors (11916306431108).

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

10001221101100 is a wasteful number, since it uses less digits than its factorization.

10001221101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990220026 (or 990220019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001221101100 its reverse (110112210001), we get a palindrome (10111333311101).

The spelling of 10001221101100 in words is "ten trillion, one billion, two hundred twenty-one million, one hundred one thousand, one hundred".