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101102201120200 = 23527409117652373
BaseRepresentation
bin10110111111001110110000…
…110010001010010111001000
3111020222021110020011210021211
4112333032300302022113020
5101222424301441321300
6555005413205542504
730203251536112660
oct2677166062122710
9436867406153254
10101102201120200
112a23a225892375
12b40a34a714a34
134454b86c556b7
141ad75307691a0
15ba4d7860e4ba
hex5bf3b0c8a5c8

101102201120200 has 96 divisors (see below), whose sum is σ = 268708673597760. Its totient is φ = 34655136710400.

The previous prime is 101102201120189. The next prime is 101102201120201. The reversal of 101102201120200 is 2021102201101.

It is not an unprimeable number, because it can be changed into a prime (101102201120201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3098787 + ... + 14553586.

It is an arithmetic number, because the mean of its divisors is an integer number (2799048683310).

Almost surely, 2101102201120200 is an apocalyptic number.

101102201120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102201120200 is an abundant number, since it is smaller than the sum of its proper divisors (167606472477560).

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

101102201120200 is a wasteful number, since it uses less digits than its factorization.

101102201120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17656487 (or 17656478 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101102201120200 its reverse (2021102201101), we get a palindrome (103123303321301).

The spelling of 101102201120200 in words is "one hundred one trillion, one hundred two billion, two hundred one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 4091 8182 16364 20455 28637 32728 40910 57274 81820 102275 114548 143185 163640 204550 229096 286370 409100 572740 715925 818200 1145480 1431850 2863700 5727400 17652373 35304746 70609492 88261865 123566611 141218984 176523730 247133222 353047460 441309325 494266444 617833055 706094920 882618650 988532888 1235666110 1765237300 2471332220 3089165275 3530474600 4942664440 6178330550 12356661100 24713322200 72215857943 144431715886 288863431772 361079289715 505511005601 577726863544 722158579430 1011022011202 1444317158860 1805396448575 2022044022404 2527555028005 2888634317720 3610792897150 4044088044808 5055110056010 7221585794300 10110220112020 12637775140025 14443171588600 20220440224040 25275550280050 50551100560100 101102201120200