1021101100 has 72 divisors (see below), whose sum is σ = 2333913120. Its totient is φ = 387002880.

The previous prime is 1021101083. The next prime is 1021101101. The reversal of 1021101100 is 11011201.

1021101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1021101101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248664 + ... + 252736.

It is an arithmetic number, because the mean of its divisors is an integer number (32415460).

Almost surely, 2^1021101100 is an apocalyptic number.

1021101100 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 1021101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166956560).

1021101100 is an abundant number, since it is smaller than the sum of its proper divisors (1312812020).

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

1021101100 is a wasteful number, since it uses less digits than its factorization.

1021101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4219 (or 4212 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

The square root of 1021101100 is about 31954.6725847723. The cubic root of 1021101100 is about 1006.9847989929.

Adding to 1021101100 its reverse (11011201), we get a palindrome (1032112301).

It can be divided in two parts, 1021101 and 100, that added together give a palindrome (1021201).

The spelling of 1021101100 in words is "one billion, twenty-one million, one hundred one thousand, one hundred".