211212120101000 has 128 divisors (see below), whose sum is σ = 501836221560960. Its totient is φ = 83186848800000.

The previous prime is 211212120100997. The next prime is 211212120101057. The reversal of 211212120101000 is 101021212112.

It is a super-2 number, since 2×211212120101000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150116774 + ... + 151517226.

It is an arithmetic number, because the mean of its divisors is an integer number (3920595480945).

Almost surely, 2^{211212120101000} is an apocalyptic number.

211212120101000 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 211212120101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250918110780480).

211212120101000 is an abundant number, since it is smaller than the sum of its proper divisors (290624101459960).

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

211212120101000 is a wasteful number, since it uses less digits than its factorization.

211212120101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402792 (or 1402778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211212120101000 its reverse (101021212112), we get a palindrome (211313141313112).

The spelling of 211212120101000 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty million, one hundred one thousand".