2112100101100 has 36 divisors (see below), whose sum is σ = 4999916969208. Its totient is φ = 768036400000.

The previous prime is 2112100101091. The next prime is 2112100101109. The reversal of 2112100101100 is 11010012112.

It is an interprime number because it is at equal distance from previous prime (2112100101091) and next prime (2112100101109).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2112100101109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 960044401 + ... + 960046600.

It is an arithmetic number, because the mean of its divisors is an integer number (138886582478).

Almost surely, 2^{2112100101100} is an apocalyptic number.

2112100101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112100101100 is an abundant number, since it is smaller than the sum of its proper divisors (2887816868108).

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

2112100101100 is a wasteful number, since it uses less digits than its factorization.

2112100101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920091026 (or 1920091019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2112100101100 its reverse (11010012112), we get a palindrome (2123110113212).

The spelling of 2112100101100 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred one thousand, one hundred".