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101202100212220 = 22577611373691841
BaseRepresentation
bin10111000000101011110011…
…001110111101000111111100
3111021022211022100221110210221
4113000223303032331013330
5101231043400123242340
6555123334130111124
730213416246305060
oct2700536316750774
9437284270843727
10101202100212220
112a27862a266847
12b42578a71b4a4
134461417894277
141adc2ca23daa0
15ba7773a6544a
hex5c0af33bd1fc

101202100212220 has 96 divisors (see below), whose sum is σ = 243381691357056. Its totient is φ = 34626979430400.

The previous prime is 101202100212197. The next prime is 101202100212229. The reversal of 101202100212220 is 22212001202101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101202100212194 and 101202100212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202100212229) 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, 145933500 + ... + 146625340.

It is an arithmetic number, because the mean of its divisors is an integer number (2535225951636).

Almost surely, 2101202100212220 is an apocalyptic number.

101202100212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202100212220 is an abundant number, since it is smaller than the sum of its proper divisors (142179591144836).

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

101202100212220 is a wasteful number, since it uses less digits than its factorization.

101202100212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693991 (or 693989 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101202100212220 its reverse (22212001202101), we get a palindrome (123414101414321).

The spelling of 101202100212220 in words is "one hundred one trillion, two hundred two billion, one hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 761 1373 1522 2746 3044 3805 5327 5492 6865 7610 9611 10654 13730 15220 19222 21308 26635 27460 38444 48055 53270 96110 106540 192220 691841 1044853 1383682 2089706 2767364 3459205 4179412 4842887 5224265 6918410 7313971 9685774 10448530 13836820 14627942 19371548 20897060 24214435 29255884 36569855 48428870 73139710 96857740 146279420 526491001 949897693 1052982002 1899795386 2105964004 2632455005 3685437007 3799590772 4749488465 5264910010 6649283851 7370874014 9498976930 10529820020 13298567702 14741748028 18427185035 18997953860 26597135404 33246419255 36854370070 66492838510 73708740140 132985677020 722872144373 1445744288746 2891488577492 3614360721865 5060105010611 7228721443730 10120210021222 14457442887460 20240420042444 25300525053055 50601050106110 101202100212220