211442101244112 has 160 divisors (see below), whose sum is σ = 562043225502720. Its totient is φ = 68446948147200.

The previous prime is 211442101244053. The next prime is 211442101244117.

It is a happy number.

211442101244112 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 211442101244112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211442101244117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829793089 + ... + 2829867807.

It is an arithmetic number, because the mean of its divisors is an integer number (3512770159392).

Almost surely, 2^{211442101244112} 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 211442101244112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281021612751360).

211442101244112 is an abundant number, since it is smaller than the sum of its proper divisors (350601124258608).

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

211442101244112 is a wasteful number, since it uses less digits than its factorization.

211442101244112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77741 (or 77735 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

It can be divided in two parts, 21144210 and 1244112, that added together give a palindrome (22388322).

The spelling of 211442101244112 in words is "two hundred eleven trillion, four hundred forty-two billion, one hundred one million, two hundred forty-four thousand, one hundred twelve".