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122202011020100 = 225211292541379751
BaseRepresentation
bin11011110010010001011111…
…011101010010101101000100
3121000200101202020222222100212
4123302101133131102231010
5112004124204310120400
61111522455011054552
734511542516056464
oct3362213735225504
9530611666888325
10122202011020100
1135a3464446a380
121185769a2a1458
1353257a581551b
142226874b27ba4
15e1db4c3e5335
hex6f245f752b44

122202011020100 has 72 divisors (see below), whose sum is σ = 289287238556736. Its totient is φ = 44436826000000.

The previous prime is 122202011020079. The next prime is 122202011020121. The reversal of 122202011020100 is 1020110202221.

It is an interprime number because it is at equal distance from previous prime (122202011020079) and next prime (122202011020121).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321605225 + ... + 321984975.

It is an arithmetic number, because the mean of its divisors is an integer number (4017878313288).

Almost surely, 2122202011020100 is an apocalyptic number.

122202011020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122202011020100 is an abundant number, since it is smaller than the sum of its proper divisors (167085227536636).

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

122202011020100 is a wasteful number, since it uses less digits than its factorization.

122202011020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672317 (or 672310 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122202011020100 its reverse (1020110202221), we get a palindrome (123222121222321).

The spelling of 122202011020100 in words is "one hundred twenty-two trillion, two hundred two billion, eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 292541 379751 585082 759502 1170164 1462705 1519004 1898755 2925410 3217951 3797510 4177261 5850820 6435902 7313525 7595020 8354522 9493775 12871804 14627050 16089755 16709044 18987550 20886305 29254100 32179510 37975100 41772610 64359020 80448775 83545220 104431525 160897550 208863050 321795100 417726100 111092737291 222185474582 444370949164 555463686455 1110927372910 1222020110201 2221854745820 2444040220402 2777318432275 4888080440804 5554636864550 6110100551005 11109273729100 12220201102010 24440402204020 30550502755025 61101005510050 122202011020100