11210111210100 has 576 divisors, whose sum is σ = 37031109857280. Its totient is φ = 2594592000000.

The previous prime is 11210111210083. The next prime is 11210111210141. The reversal of 11210111210100 is 101211101211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1132215150 + ... + 1132225050.

It is an arithmetic number, because the mean of its divisors is an integer number (64290121280).

Almost surely, 2^{11210111210100} is an apocalyptic number.

11210111210100 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 11210111210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515554928640).

11210111210100 is an abundant number, since it is smaller than the sum of its proper divisors (25820998647180).

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

11210111210100 is a wasteful number, since it uses less digits than its factorization.

11210111210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10152 (or 10145 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11210111210100 its reverse (101211101211), we get a palindrome (11311322311311).

It can be divided in two parts, 112101 and 11210100, that multiplied together give a square (1256663420100 = 1121010²).

The spelling of 11210111210100 in words is "eleven trillion, two hundred ten billion, one hundred eleven million, two hundred ten thousand, one hundred".