211212101212112 has 480 divisors, whose sum is σ = 555344614336512. Its totient is φ = 75722739840000.

The previous prime is 211212101212103. The next prime is 211212101212127.

It is a happy number.

211212101212112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211212101212112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145563128987 + ... + 145563130437.

Almost surely, 2^{211212101212112} is an apocalyptic number.

211212101212112 is a gapful number since it is divisible by the number (22) 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 211212101212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277672307168256).

211212101212112 is an abundant number, since it is smaller than the sum of its proper divisors (344132513124400).

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

211212101212112 is a wasteful number, since it uses less digits than its factorization.

211212101212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3519 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 21121210 and 1212112, that added together give a palindrome (22333322).

The spelling of 211212101212112 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred one million, two hundred twelve thousand, one hundred twelve".