1101102201100 has 36 divisors (see below), whose sum is σ = 2606609213208. Its totient is φ = 400400800000.

The previous prime is 1101102201097. The next prime is 1101102201103. The reversal of 1101102201100 is 11022011011.

It is an interprime number because it is at equal distance from previous prime (1101102201097) and next prime (1101102201103).

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

It is not an unprimeable number, because it can be changed into a prime (1101102201103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500499901 + ... + 500502100.

It is an arithmetic number, because the mean of its divisors is an integer number (72405811478).

Almost surely, 2^{1101102201100} is an apocalyptic number.

1101102201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101102201100 is an abundant number, since it is smaller than the sum of its proper divisors (1505507012108).

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

1101102201100 is a wasteful number, since it uses less digits than its factorization.

1101102201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001002026 (or 1001002019 counting only the distinct ones).

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

Adding to 1101102201100 its reverse (11022011011), we get a palindrome (1112124212111).

It can be divided in two parts, 1101 and 102201100, that added together give a palindrome (102202201).

The spelling of 1101102201100 in words is "one trillion, one hundred one billion, one hundred two million, two hundred one thousand, one hundred".