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101022122212220 = 225112346307431141
BaseRepresentation
bin10110111110000100001011…
…101101010111101101111100
3111020200121202101120202220002
4112332010023231113231330
5101220121301241242340
6554504531113013432
730164415235453646
oct2676041355275574
9436617671522802
10101022122212220
112a209272390590
12b3b69203b4278
13444a464683591
141ad36d532d896
15ba2c3d255715
hex5be10bb57b7c

101022122212220 has 96 divisors (see below), whose sum is σ = 241500555910656. Its totient is φ = 35137289158400.

The previous prime is 101022122212183. The next prime is 101022122212261. The reversal of 101022122212220 is 22212221220101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101022122212192 and 101022122212201.

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, 234097850 + ... + 234528990.

It is an arithmetic number, because the mean of its divisors is an integer number (2515630790736).

Almost surely, 2101022122212220 is an apocalyptic number.

101022122212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022122212220 is an abundant number, since it is smaller than the sum of its proper divisors (140478433698436).

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

101022122212220 is a wasteful number, since it uses less digits than its factorization.

101022122212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477491 (or 477489 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101022122212220 its reverse (22212221220101), we get a palindrome (123234343432321).

The spelling of 101022122212220 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 46307 92614 185228 231535 431141 463070 509377 862282 926140 1018754 1065061 1724564 2037508 2130122 2155705 2546885 4260244 4311410 4742551 5093770 5325305 8622820 9485102 9916243 10187540 10650610 11715671 18970204 19832486 21301220 23431342 23712755 39664972 46862684 47425510 49581215 58578355 94851020 99162430 109078673 117156710 198324860 218157346 234313420 436314692 545393365 1090786730 2181573460 19964846287 39929692574 79859385148 99824231435 199648462870 219613309157 399296925740 439226618314 459191464601 878453236628 918382929202 1098066545785 1836765858404 2196133091570 2295957323005 4392266183140 4591914646010 5051106110611 9183829292020 10102212221222 20204424442444 25255530553055 50511061106110 101022122212220