2121211010002 has 64 divisors (see below), whose sum is σ = 3671048355840. Its totient is φ = 900466257600.

The previous prime is 2121211009999. The next prime is 2121211010011. The reversal of 2121211010002 is 2000101121212.

It is a super-3 number, since 3×2121211010002³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 961127583 + ... + 961129789.

It is an arithmetic number, because the mean of its divisors is an integer number (57360130560).

Almost surely, 2^{2121211010002} is an apocalyptic number.

2121211010002 is a deficient number, since it is larger than the sum of its proper divisors (1549837345838).

2121211010002 is a wasteful number, since it uses less digits than its factorization.

2121211010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3727.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121211010002 its reverse (2000101121212), we get a palindrome (4121312131214).

The spelling of 2121211010002 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, ten thousand, two".