211221020122112 has 1056 divisors, whose sum is σ = 613877932007424. Its totient is φ = 70423782359040.

The previous prime is 211221020122097. The next prime is 211221020122121.

211221020122112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211221020122112² (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, 12842517473 + ... + 12842533919.

Almost surely, 2^{211221020122112} is an apocalyptic number.

211221020122112 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 211221020122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306938966003712).

211221020122112 is an abundant number, since it is smaller than the sum of its proper divisors (402656911885312).

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

211221020122112 is a wasteful number, since it uses less digits than its factorization.

211221020122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16593 (or 16564 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 211221020122112 in words is "two hundred eleven trillion, two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, one hundred twelve".