2121102508640 has 96 divisors (see below), whose sum is σ = 5026088509344. Its totient is φ = 845907701760.

The previous prime is 2121102508633. The next prime is 2121102508649. The reversal of 2121102508640 is 468052011212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2121102508597 and 2121102508606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121102508649) 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 15 ways as a sum of consecutive naturals, for example, 78496412 + ... + 78523428.

It is an arithmetic number, because the mean of its divisors is an integer number (52355088639).

Almost surely, 2^{2121102508640} is an apocalyptic number.

2121102508640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121102508640 is an abundant number, since it is smaller than the sum of its proper divisors (2904986000704).

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

2121102508640 is a wasteful number, since it uses less digits than its factorization.

2121102508640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28480 (or 28472 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

Adding to 2121102508640 its reverse (468052011212), we get a palindrome (2589154519852).

The spelling of 2121102508640 in words is "two trillion, one hundred twenty-one billion, one hundred two million, five hundred eight thousand, six hundred forty".