2122106670500 has 96 divisors (see below), whose sum is σ = 4723282313568. Its totient is φ = 832623168000.

The previous prime is 2122106670457. The next prime is 2122106670539. The reversal of 2122106670500 is 50766012212.

It can be written as a sum of positive squares in 16 ways, for example, as 1435472364544 + 686634305956 = 1198112^2 + 828634^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154249622 + ... + 154263378.

It is an arithmetic number, because the mean of its divisors is an integer number (49200857433).

Almost surely, 2^{2122106670500} is an apocalyptic number.

2122106670500 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 2122106670500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361641156784).

2122106670500 is an abundant number, since it is smaller than the sum of its proper divisors (2601175643068).

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

2122106670500 is a wasteful number, since it uses less digits than its factorization.

2122106670500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19650 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 2122106670500 in words is "two trillion, one hundred twenty-two billion, one hundred six million, six hundred seventy thousand, five hundred".