211002211010112 has 224 divisors, whose sum is σ = 600216127764480. Its totient is φ = 65208803235840.

The previous prime is 211002211010051. The next prime is 211002211010137. The reversal of 211002211010112 is 211010112200112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211002211010091 and 211002211010100.

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, 2198189383 + ... + 2198285369.

Almost surely, 2^{211002211010112} 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 211002211010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300108063882240).

211002211010112 is an abundant number, since it is smaller than the sum of its proper divisors (389213916754368).

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

211002211010112 is a wasteful number, since it uses less digits than its factorization.

211002211010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108889 (or 108879 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211002211010112 its reverse (211010112200112), we get a palindrome (422012323210224).

The spelling of 211002211010112 in words is "two hundred eleven trillion, two billion, two hundred eleven million, ten thousand, one hundred twelve".