211200102100000 has 288 divisors, whose sum is σ = 560373221474640. Its totient is φ = 77887111680000.

The previous prime is 211200102099977. The next prime is 211200102100007. The reversal of 211200102100000 is 1201002112.

It can be written as a sum of positive squares in 24 ways, for example, as 207044587233936 + 4155514866064 = 14389044^2 + 2038508^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 211200102100000.

It is not an unprimeable number, because it can be changed into a prime (211200102100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1077602014 + ... + 1077797986.

Almost surely, 2^{211200102100000} is an apocalyptic number.

211200102100000 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 211200102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280186610737320).

211200102100000 is an abundant number, since it is smaller than the sum of its proper divisors (349173119374640).

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

211200102100000 is an equidigital number, since it uses as much as digits as its factorization.

211200102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196850 (or 196822 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211200102100000 its reverse (1201002112), we get a palindrome (211201303102112).

The spelling of 211200102100000 in words is "two hundred eleven trillion, two hundred billion, one hundred two million, one hundred thousand".