2128101939720 has 256 divisors, whose sum is σ = 7127485747200. Its totient is φ = 564793931520.

The previous prime is 2128101939707. The next prime is 2128101939721. The reversal of 2128101939720 is 279391018212.

2128101939720 is a `hidden beast` number, since 212 + 8 + 10 + 19 + 397 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2128101939721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278434219 + ... + 278441861.

It is an arithmetic number, because the mean of its divisors is an integer number (27841741200).

Almost surely, 2^{2128101939720} is an apocalyptic number.

2128101939720 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 2128101939720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563742873600).

2128101939720 is an abundant number, since it is smaller than the sum of its proper divisors (4999383807480).

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

2128101939720 is a wasteful number, since it uses less digits than its factorization.

2128101939720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8857 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 2128101939720 in words is "two trillion, one hundred twenty-eight billion, one hundred one million, nine hundred thirty-nine thousand, seven hundred twenty".