2111200102128 has 160 divisors (see below), whose sum is σ = 5889423052800. Its totient is φ = 647837798400.

The previous prime is 2111200102127. The next prime is 2111200102129. The reversal of 2111200102128 is 8212010021112.

It is an interprime number because it is at equal distance from previous prime (2111200102127) and next prime (2111200102129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111200102127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448902625 + ... + 448907327.

It is an arithmetic number, because the mean of its divisors is an integer number (36808894080).

Almost surely, 2^{2111200102128} 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 2111200102128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2944711526400).

2111200102128 is an abundant number, since it is smaller than the sum of its proper divisors (3778222950672).

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

2111200102128 is a wasteful number, since it uses less digits than its factorization.

2111200102128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The spelling of 2111200102128 in words is "two trillion, one hundred eleven billion, two hundred million, one hundred two thousand, one hundred twenty-eight".