2112131100 has 144 divisors (see below), whose sum is σ = 6252127616. Its totient is φ = 550368000.

The previous prime is 2112131093. The next prime is 2112131111. The reversal of 2112131100 is 11312112.

It is a super-2 number, since 2×2112131100² = 8922195567174420000, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3861027 + ... + 3861573.

Almost surely, 2^2112131100 is an apocalyptic number.

2112131100 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 2112131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126063808).

2112131100 is an abundant number, since it is smaller than the sum of its proper divisors (4139996516).

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

2112131100 is a wasteful number, since it uses less digits than its factorization.

2112131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 829 counting only the distinct ones).

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

The square root of 2112131100 is about 45957.9274989637. The cubic root of 2112131100 is about 1283.0402786555.

Adding to 2112131100 its reverse (11312112), we get a palindrome (2123443212).

The spelling of 2112131100 in words is "two billion, one hundred twelve million, one hundred thirty-one thousand, one hundred".