2122131001100 has 144 divisors (see below), whose sum is σ = 5052201638400. Its totient is φ = 767312851200.

The previous prime is 2122131001097. The next prime is 2122131001129. The reversal of 2122131001100 is 11001312212.

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, 140076326 + ... + 140091474.

It is an arithmetic number, because the mean of its divisors is an integer number (35084733600).

Almost surely, 2^{2122131001100} is an apocalyptic number.

2122131001100 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 2122131001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526100819200).

2122131001100 is an abundant number, since it is smaller than the sum of its proper divisors (2930070637300).

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

2122131001100 is a wasteful number, since it uses less digits than its factorization.

2122131001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15888 (or 15881 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 2122131001100 its reverse (11001312212), we get a palindrome (2133132313312).

It can be divided in two parts, 212 and 2131001100, that added together give a palindrome (2131001312).

The spelling of 2122131001100 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-one million, one thousand, one hundred".