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1102201100 = 225272113132

1102201100 has 324 divisors, whose sum is σ = 3313803528. Its totient is φ = 317116800.

The previous prime is 1102201099. The next prime is 1102201109. The reversal of 1102201100 is 11022011.

Adding to 1102201100 its reverse (11022011), we get a palindrome (1113223111).

Subtracting from 1102201100 its reverse (11022011), we obtain a square (1091179089 = 330332).

1102201100 divided by its reverse (11022011) gives a square (100 = 102).

It can be divided in two parts, 1102 and 201100, that added together give a palindrome (202202).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (1102201109) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 84784694 + ... + 84784706.

Almost surely, 21102201100 is an apocalyptic number.

1102201100 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 1102201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656901764).

1102201100 is an abundant number, since it is smaller than the sum of its proper divisors (2211602428).

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

1102201100 is a wasteful number, since it uses less digits than its factorization.

1102201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1102201100 is about 33199.4141514576. The cubic root of 1102201100 is about 1032.9681875532.

The spelling of 1102201100 in words is "one billion, one hundred two million, two hundred one thousand, one hundred".