211012101210112 has 144 divisors (see below), whose sum is σ = 423534672408960. Its totient is φ = 105128749170688.

The previous prime is 211012101210109. The next prime is 211012101210137.

211012101210112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×211012101210112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50038437828 + ... + 50038442044.

It is an arithmetic number, because the mean of its divisors is an integer number (2941213002840).

Almost surely, 2^{211012101210112} 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 211012101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211767336204480).

211012101210112 is an abundant number, since it is smaller than the sum of its proper divisors (212522571198848).

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

211012101210112 is an frugal number, since it uses more digits than its factorization.

211012101210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527 (or 5495 counting only the distinct ones).

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

It can be divided in two parts, 21101210 and 1210112, that added together give a palindrome (22311322).

The spelling of 211012101210112 in words is "two hundred eleven trillion, twelve billion, one hundred one million, two hundred ten thousand, one hundred twelve".