2122611668100 has 432 divisors, whose sum is σ = 8298044891136. Its totient is φ = 440895456000.

The previous prime is 2122611668087. The next prime is 2122611668101. The reversal of 2122611668100 is 18661162212.

It is a happy number.

2122611668100 is a `hidden beast` number, since 2 + 1 + 22 + 611 + 6 + 6 + 8 + 10 + 0 = 666.

It is a super-2 number, since 2×2122611668100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2122611668101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283502557 + ... + 283510043.

It is an arithmetic number, because the mean of its divisors is an integer number (19208437248).

Almost surely, 2^{2122611668100} is an apocalyptic number.

2122611668100 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 2122611668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149022445568).

2122611668100 is an abundant number, since it is smaller than the sum of its proper divisors (6175433223036).

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

2122611668100 is a wasteful number, since it uses less digits than its factorization.

2122611668100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11606 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 2122611668100 in words is "two trillion, one hundred twenty-two billion, six hundred eleven million, six hundred sixty-eight thousand, one hundred".