2113211100 has 576 divisors, whose sum is σ = 8511455232. Its totient is φ = 390528000.

The previous prime is 2113211099. The next prime is 2113211119. The reversal of 2113211100 is 11123112.

It is a super-2 number, since 2×2113211100² = 8931322306326420000, which contains 22 as substring.

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, 9309187 + ... + 9309413.

It is an arithmetic number, because the mean of its divisors is an integer number (14776832).

Almost surely, 2^2113211100 is an apocalyptic number.

2113211100 is a gapful number since it is divisible by the number (20) 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 2113211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4255727616).

2113211100 is an abundant number, since it is smaller than the sum of its proper divisors (6398244132).

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

2113211100 is a wasteful number, since it uses less digits than its factorization.

2113211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

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

The square root of 2113211100 is about 45969.6758744284. The cubic root of 2113211100 is about 1283.2589278651.

Adding to 2113211100 its reverse (11123112), we get a palindrome (2124334212).

The spelling of 2113211100 in words is "two billion, one hundred thirteen million, two hundred eleven thousand, one hundred".