2100188370000 has 800 divisors, whose sum is σ = 8346372305920. Its totient is φ = 444165120000.

The previous prime is 2100188369989. The next prime is 2100188370017. The reversal of 2100188370000 is 738810012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2100188370000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 171563880 + ... + 171576120.

Almost surely, 2^{2100188370000} is an apocalyptic number.

2100188370000 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 2100188370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173186152960).

2100188370000 is an abundant number, since it is smaller than the sum of its proper divisors (6246183935920).

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

2100188370000 is a wasteful number, since it uses less digits than its factorization.

2100188370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12341 (or 12320 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 2100188370000 in words is "two trillion, one hundred billion, one hundred eighty-eight million, three hundred seventy thousand".