101332112021112 has 128 divisors (see below), whose sum is σ = 290840647472640. Its totient is φ = 28820038679040.

The previous prime is 101332112021089. The next prime is 101332112021131. The reversal of 101332112021112 is 211120211233101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250771138 + ... + 251174894.

It is an arithmetic number, because the mean of its divisors is an integer number (2272192558380).

Almost surely, 2^{101332112021112} is an apocalyptic number.

101332112021112 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 101332112021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145420323736320).

101332112021112 is an abundant number, since it is smaller than the sum of its proper divisors (189508535451528).

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

101332112021112 is a wasteful number, since it uses less digits than its factorization.

101332112021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410581 (or 410577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101332112021112 its reverse (211120211233101), we get a palindrome (312452323254213).

The spelling of 101332112021112 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred twelve million, twenty-one thousand, one hundred twelve".