212311100202000 has 320 divisors, whose sum is σ = 690893408325120. Its totient is φ = 56089165824000.

The previous prime is 212311100201971. The next prime is 212311100202023. The reversal of 212311100202000 is 202001113212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278697621 + ... + 279458379.

It is an arithmetic number, because the mean of its divisors is an integer number (2159041901016).

Almost surely, 2^{212311100202000} is an apocalyptic number.

212311100202000 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 212311100202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345446704162560).

212311100202000 is an abundant number, since it is smaller than the sum of its proper divisors (478582308123120).

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

212311100202000 is a wasteful number, since it uses less digits than its factorization.

212311100202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761219 (or 761203 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212311100202000 its reverse (202001113212), we get a palindrome (212513101315212).

The spelling of 212311100202000 in words is "two hundred twelve trillion, three hundred eleven billion, one hundred million, two hundred two thousand".