211020210112 has 448 divisors, whose sum is σ = 511244697600. Its totient is φ = 85618114560.

The previous prime is 211020210109. The next prime is 211020210139. The reversal of 211020210112 is 211012020112.

It is a junction number, because it is equal to n+sod(n) for n = 211020210092 and 211020210101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1518130939 + ... + 1518131077.

It is an arithmetic number, because the mean of its divisors is an integer number (1141171200).

Almost surely, 2^211020210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211020210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255622348800).

211020210112 is an abundant number, since it is smaller than the sum of its proper divisors (300224487488).

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

211020210112 is a wasteful number, since it uses less digits than its factorization.

211020210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

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

Adding to 211020210112 its reverse (211012020112), we get a palindrome (422032230224).

The spelling of 211020210112 in words is "two hundred eleven billion, twenty million, two hundred ten thousand, one hundred twelve".