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11202111020100 = 2235271113372334327

11202111020100 has 1152 divisors, whose sum is σ = 44895798484992. Its totient is φ = 2081131315200.

The previous prime is 11202111020047. The next prime is 11202111020117. The reversal of 11202111020100 is 102011120211.

Adding to 11202111020100 its reverse (102011120211), we get a palindrome (11304122140311).

It can be divided in two parts, 112021 and 11020100, that added together give a triangular number (11132121 = T4718).

It is a super-3 number, since 3×112021110201003 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 2588884137 + ... + 2588888463.

It is an arithmetic number, because the mean of its divisors is an integer number (38972047296).

Almost surely, 211202111020100 is an apocalyptic number.

11202111020100 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 11202111020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22447899242496).

11202111020100 is an abundant number, since it is smaller than the sum of its proper divisors (33693687464892).

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

11202111020100 is a wasteful number, since it uses less digits than its factorization.

11202111020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4645 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

The spelling of 11202111020100 in words is "eleven trillion, two hundred two billion, one hundred eleven million, twenty thousand, one hundred".