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101211120021020 = 225151503103364499
BaseRepresentation
bin10111000000110100001100…
…110110110010111000011100
3111021100200120222022020101112
4113000310030312302320130
5101231220333211133040
6555131425140001152
730214155622360532
oct2700641466627034
9437320528266345
10101211120021020
112a281438757689
12b4274873901b8
13446222448b939
141adc904130152
15ba7b00856365
hex5c0d0cdb2e1c

101211120021020 has 96 divisors (see below), whose sum is σ = 214587128448000. Its totient is φ = 40096910246400.

The previous prime is 101211120020999. The next prime is 101211120021031. The reversal of 101211120021020 is 20120021112101.

101211120021020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101211120020986 and 101211120021004.

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, 1569156731 + ... + 1569221229.

It is an arithmetic number, because the mean of its divisors is an integer number (2235282588000).

Almost surely, 2101211120021020 is an apocalyptic number.

101211120021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211120021020 is an abundant number, since it is smaller than the sum of its proper divisors (113376008426980).

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

101211120021020 is a wasteful number, since it uses less digits than its factorization.

101211120021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66195 (or 66193 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101211120021020 its reverse (20120021112101), we get a palindrome (121331141133121).

The spelling of 101211120021020 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty million, twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 151 302 503 604 755 1006 1033 1510 2012 2066 2515 3020 4132 5030 5165 10060 10330 20660 64499 75953 128998 151906 155983 257996 303812 311966 322495 379765 519599 623932 644990 759530 779915 1039198 1289980 1519060 1559830 2078396 2597995 3119660 5195990 9739349 10391980 19478698 32442997 38957396 48696745 64885994 66627467 78459449 97393490 129771988 133254934 156918898 162214985 194786980 266509868 313837796 324429970 333137335 392297245 648859940 666274670 784594490 1332549340 1569188980 4898892547 9797785094 10060747517 19595570188 20121495034 24494462735 33513615901 40242990068 48988925470 50303737585 67027231802 97977850940 100607475170 134054463604 167568079505 201214950340 335136159010 670272318020 5060556001051 10121112002102 20242224004204 25302780005255 50605560010510 101211120021020