2101100120000 has 140 divisors (see below), whose sum is σ = 5954338439280. Its totient is φ = 720377088000.

The previous prime is 2101100119997. The next prime is 2101100120003. The reversal of 2101100120000 is 210011012.

It is an interprime number because it is at equal distance from previous prime (2101100119997) and next prime (2101100120003).

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2101100120000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101100120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3471965 + ... + 4031964.

It is an arithmetic number, because the mean of its divisors is an integer number (42530988852).

Almost surely, 2^{2101100120000} is an apocalyptic number.

2101100120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101100120000 is an abundant number, since it is smaller than the sum of its proper divisors (3853238319280).

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

2101100120000 is an frugal number, since it uses more digits than its factorization.

2101100120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7503968 (or 7503943 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2101100120000 its reverse (210011012), we get a palindrome (2101310131012).

The spelling of 2101100120000 in words is "two trillion, one hundred one billion, one hundred million, one hundred twenty thousand".