2102412224100 has 144 divisors (see below), whose sum is σ = 6443303727168. Its totient is φ = 527459266560.

The previous prime is 2102412224057. The next prime is 2102412224123. The reversal of 2102412224100 is 14222142012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13267939 + ... + 13425461.

It is an arithmetic number, because the mean of its divisors is an integer number (44745164772).

Almost surely, 2^{2102412224100} is an apocalyptic number.

2102412224100 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 2102412224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221651863584).

2102412224100 is an abundant number, since it is smaller than the sum of its proper divisors (4340891503068).

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

2102412224100 is a wasteful number, since it uses less digits than its factorization.

2102412224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160174 (or 160167 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2102412224100 its reverse (14222142012), we get a palindrome (2116634366112).

The spelling of 2102412224100 in words is "two trillion, one hundred two billion, four hundred twelve million, two hundred twenty-four thousand, one hundred".