2101002750000 has 1680 divisors, whose sum is σ = 9351495299328. Its totient is φ = 427680000000.

The previous prime is 2101002749999. The next prime is 2101002750043. The reversal of 2101002750000 is 572001012.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 11607749910 + ... + 11607750090.

Almost surely, 2^{2101002750000} is an apocalyptic number.

2101002750000 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 2101002750000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675747649664).

2101002750000 is an abundant number, since it is smaller than the sum of its proper divisors (7250492549328).

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

2101002750000 is a wasteful number, since it uses less digits than its factorization.

2101002750000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

Adding to 2101002750000 its reverse (572001012), we get a palindrome (2101574751012).

The spelling of 2101002750000 in words is "two trillion, one hundred one billion, two million, seven hundred fifty thousand".