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101332221100012 = 22717973117056811
BaseRepresentation
bin10111000010100100111111…
…000010101111111111101100
3111021210021011201100110022101
4113002210333002233333230
5101240211342100200022
6555303214004224444
730226003621512010
oct2702447702577754
9437707151313271
10101332221100012
112a3188320a3741
12b446a4399b124
134470783813b26
141b047117b6540
15baad3c307627
hex5c293f0affec

101332221100012 has 96 divisors (see below), whose sum is σ = 217495236381696. Its totient is φ = 40322047795200.

The previous prime is 101332221100001. The next prime is 101332221100021. The reversal of 101332221100012 is 210001122233101.

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, 10831087 + ... + 17887897.

It is an arithmetic number, because the mean of its divisors is an integer number (2265575378976).

Almost surely, 2101332221100012 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 101332221100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108747618190848).

101332221100012 is an abundant number, since it is smaller than the sum of its proper divisors (116163015281684).

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

101332221100012 is a wasteful number, since it uses less digits than its factorization.

101332221100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057247 (or 7057245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101332221100012 its reverse (210001122233101), we get a palindrome (311333343333113).

The spelling of 101332221100012 in words is "one hundred one trillion, three hundred thirty-two billion, two hundred twenty-one million, one hundred thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 68 97 119 194 238 311 388 476 622 679 1244 1358 1649 2177 2716 3298 4354 5287 6596 8708 10574 11543 21148 23086 30167 37009 46172 60334 74018 120668 148036 211169 422338 512839 844676 1025678 2051356 3589873 7056811 7179746 14113622 14359492 28227244 49397677 98795354 119965787 197590708 239931574 479863148 684510667 839760509 1369021334 1679521018 2194668221 2738042668 3359042036 4389336442 4791574669 8778672884 9583149338 11636681339 15362677547 19166298676 23273362678 30725355094 37309359757 46546725356 61450710188 74618719514 81456769373 149237439028 162913538746 212882817437 261165518299 325827077492 425765634874 522331036598 851531269748 1044662073196 1490179722059 2980359444118 3619007896429 5960718888236 7238015792858 14476031585716 25333055275003 50666110550006 101332221100012