211212102010000 has 400 divisors, whose sum is σ = 656737182630144. Its totient is φ = 63938831616000.

The previous prime is 211212102009941. The next prime is 211212102010061. The reversal of 211212102010000 is 10201212112.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×211212102010000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15884322 + ... + 25975678.

Almost surely, 2^{211212102010000} is an apocalyptic number.

211212102010000 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 211212102010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328368591315072).

211212102010000 is an abundant number, since it is smaller than the sum of its proper divisors (445525080620144).

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

211212102010000 is a wasteful number, since it uses less digits than its factorization.

211212102010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10091428 (or 10091407 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211212102010000 its reverse (10201212112), we get a palindrome (211222303222112).

The spelling of 211212102010000 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred two million, ten thousand".