2121132100110 has 32 divisors (see below), whose sum is σ = 5112947262240. Its totient is φ = 563165202048.

The previous prime is 2121132100097. The next prime is 2121132100121. The reversal of 2121132100110 is 110012311212.

It is a super-4 number, since 4×2121132100110⁴ (a number of 50 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121132100110.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 154369557 + ... + 154383296.

It is an arithmetic number, because the mean of its divisors is an integer number (159779601945).

Almost surely, 2^{2121132100110} is an apocalyptic number.

2121132100110 is an abundant number, since it is smaller than the sum of its proper divisors (2991815162130).

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

2121132100110 is a wasteful number, since it uses less digits than its factorization.

2121132100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308753092.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2121132100110 its reverse (110012311212), we get a palindrome (2231144411322).

The spelling of 2121132100110 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, one hundred thousand, one hundred ten".