11212202100 has 576 divisors, whose sum is σ = 40287421440. Its totient is φ = 2372198400.

The previous prime is 11212202039. The next prime is 11212202101. The reversal of 11212202100 is 120221211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11212202101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 71415222 + ... + 71415378.

It is an arithmetic number, because the mean of its divisors is an integer number (69943440).

Almost surely, 2^11212202100 is an apocalyptic number.

11212202100 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 11212202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20143710720).

11212202100 is an abundant number, since it is smaller than the sum of its proper divisors (29075219340).

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

11212202100 is a wasteful number, since it uses less digits than its factorization.

11212202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11212202100 its reverse (120221211), we get a palindrome (11332423311).

It can be divided in two parts, 11212 and 202100, that added together give a palindrome (213312).

The spelling of 11212202100 in words is "eleven billion, two hundred twelve million, two hundred two thousand, one hundred".