2121132112002 has 96 divisors (see below), whose sum is σ = 4713511338432. Its totient is φ = 689205376512.

The previous prime is 2121132111991. The next prime is 2121132112049. The reversal of 2121132112002 is 2002112311212.

2121132112002 is a `hidden beast` number, since 212 + 11 + 321 + 120 + 0 + 2 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 40838133 + ... + 40890039.

It is an arithmetic number, because the mean of its divisors is an integer number (49099076442).

Almost surely, 2^{2121132112002} is an apocalyptic number.

2121132112002 is an abundant number, since it is smaller than the sum of its proper divisors (2592379226430).

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

2121132112002 is a wasteful number, since it uses less digits than its factorization.

2121132112002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52352 (or 52349 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2121132112002 its reverse (2002112311212), we get a palindrome (4123244423214).

The spelling of 2121132112002 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, one hundred twelve thousand, two".