2112100121104 has 80 divisors (see below), whose sum is σ = 4283929203840. Its totient is φ = 1006872514560.

The previous prime is 2112100121071. The next prime is 2112100121119. The reversal of 2112100121104 is 4011210012112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148973664 + ... + 148987840.

It is an arithmetic number, because the mean of its divisors is an integer number (53549115048).

Almost surely, 2^{2112100121104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112100121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141964601920).

2112100121104 is an abundant number, since it is smaller than the sum of its proper divisors (2171829082736).

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

2112100121104 is a wasteful number, since it uses less digits than its factorization.

2112100121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15488 (or 15482 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2112100121104 its reverse (4011210012112), we get a palindrome (6123310133216).

The spelling of 2112100121104 in words is "two trillion, one hundred twelve billion, one hundred million, one hundred twenty-one thousand, one hundred four".