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101021100220 = 225172111715647
BaseRepresentation
bin101111000010101010…
…0111010100010111100
3100122202100000121102101
41132011110322202330
53123342400201340
6114224120434444
710204253120035
oct1360524724274
9318670017371
10101021100220
113992a860887
12176b3918a24
1396ac226a61
144c64901a8c
152963bd7c9a
hex178553a8bc

101021100220 has 72 divisors (see below), whose sum is σ = 225573618816. Its totient is φ = 37994996736.

The previous prime is 101021100199. The next prime is 101021100233. The reversal of 101021100220 is 22001120101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101021100197 and 101021100206.

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 23 ways as a sum of consecutive naturals, for example, 6448437 + ... + 6464083.

It is an arithmetic number, because the mean of its divisors is an integer number (3132966928).

Almost surely, 2101021100220 is an apocalyptic number.

101021100220 is a gapful number since it is divisible by the number (10) 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 101021100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112786809408).

101021100220 is an abundant number, since it is smaller than the sum of its proper divisors (124552518596).

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

101021100220 is a wasteful number, since it uses less digits than its factorization.

101021100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16807 (or 16788 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101021100220 its reverse (22001120101), we get a palindrome (123022220321).

The spelling of 101021100220 in words is "one hundred one billion, twenty-one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1117 1156 1445 2234 2890 4468 5585 5780 11170 15647 18989 22340 31294 37978 62588 75956 78235 94945 156470 189890 265999 312940 322813 379780 531998 645626 1063996 1291252 1329995 1614065 2659990 3228130 4521983 5319980 6456260 9043966 17477699 18087932 22609915 34955398 45219830 69910796 87388495 90439660 174776990 297120883 349553980 594241766 1188483532 1485604415 2971208830 5051055011 5942417660 10102110022 20204220044 25255275055 50510550110 101021100220