2121132311100 has 432 divisors, whose sum is σ = 7510732678176. Its totient is φ = 500305766400.

The previous prime is 2121132311099. The next prime is 2121132311107. The reversal of 2121132311100 is 11132311212.

2121132311100 is a `hidden beast` number, since 2 + 121 + 132 + 311 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121132311107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44298372 + ... + 44346228.

Almost surely, 2^{2121132311100} is an apocalyptic number.

2121132311100 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 2121132311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755366339088).

2121132311100 is an abundant number, since it is smaller than the sum of its proper divisors (5389600367076).

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

2121132311100 is a wasteful number, since it uses less digits than its factorization.

2121132311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47947 (or 47915 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2121132311100 its reverse (11132311212), we get a palindrome (2132264622312).

The spelling of 2121132311100 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, three hundred eleven thousand, one hundred".