2102110002048 has 128 divisors (see below), whose sum is σ = 6405671416320. Its totient is φ = 598318995456.

The previous prime is 2102110002029. The next prime is 2102110002049. The reversal of 2102110002048 is 8402000112012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102110002049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779815 + ... + 2193702.

It is an arithmetic number, because the mean of its divisors is an integer number (50044307940).

Almost surely, 2^{2102110002048} is an apocalyptic number.

2102110002048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2102110002048 is an abundant number, since it is smaller than the sum of its proper divisors (4303561414272).

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

2102110002048 is a wasteful number, since it uses less digits than its factorization.

2102110002048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2973804 (or 2973792 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The spelling of 2102110002048 in words is "two trillion, one hundred two billion, one hundred ten million, two thousand, forty-eight".