101141441112 has 64 divisors (see below), whose sum is σ = 268074528480. Its totient is φ = 31689500672.

The previous prime is 101141441111. The next prime is 101141441119. The reversal of 101141441112 is 211144141101.

It is a super-2 number, since 2×101141441112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101141441111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155038 + ... + 475730.

Almost surely, 2^101141441112 is an apocalyptic number.

101141441112 is a gapful number since it is divisible by the number (12) 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 101141441112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134037264240).

101141441112 is an abundant number, since it is smaller than the sum of its proper divisors (166933087368).

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

101141441112 is a wasteful number, since it uses less digits than its factorization.

101141441112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321492 (or 321488 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 101141441112 its reverse (211144141101), we get a palindrome (312285582213).

The spelling of 101141441112 in words is "one hundred one billion, one hundred forty-one million, four hundred forty-one thousand, one hundred twelve".