2101367628672 has 512 divisors, whose sum is σ = 6304331658240. Its totient is φ = 615908966400.

The previous prime is 2101367628601. The next prime is 2101367628683. The reversal of 2101367628672 is 2768267631012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3330217797 + ... + 3330218427.

It is an arithmetic number, because the mean of its divisors is an integer number (12313147770).

Almost surely, 2^{2101367628672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101367628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152165829120).

2101367628672 is an abundant number, since it is smaller than the sum of its proper divisors (4202964029568).

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

2101367628672 is a wasteful number, since it uses less digits than its factorization.

2101367628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 2101367628672 in words is "two trillion, one hundred one billion, three hundred sixty-seven million, six hundred twenty-eight thousand, six hundred seventy-two".