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10011210102201 = 37211101103359341
BaseRepresentation
bin1001000110101110101010…
…0111110011010110111001
31022110001200110000110002210
42101223222213303112321
52303010424241232301
633143030400245333
72052200055551100
oct221535247632671
938401613013083
1010011210102201
11320a8041247a0
1211582a6010849
1357808c7663a9
1426878bc91037
15125634184ad6
hex91aea9f35b9

10011210102201 has 96 divisors (see below), whose sum is σ = 17123754105216. Its totient is φ = 5144065920000.

The previous prime is 10011210102119. The next prime is 10011210102307. The reversal of 10011210102201 is 10220101211001.

It is not a de Polignac number, because 10011210102201 - 29 = 10011210101689 is a prime.

It is a super-2 number, since 2×100112101022012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10011210106201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 168676791 + ... + 168736131.

It is an arithmetic number, because the mean of its divisors is an integer number (178372438596).

Almost surely, 210011210102201 is an apocalyptic number.

10011210102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011210102201 is a deficient number, since it is larger than the sum of its proper divisors (7112544003015).

10011210102201 is a wasteful number, since it uses less digits than its factorization.

10011210102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60503 (or 60496 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011210102201 its reverse (10220101211001), we get a palindrome (20231311313202).

The spelling of 10011210102201 in words is "ten trillion, eleven billion, two hundred ten million, one hundred two thousand, two hundred one".

Divisors: 1 3 7 11 21 33 49 77 101 147 231 303 539 707 1033 1111 1617 2121 3099 3333 4949 7231 7777 11363 14847 21693 23331 34089 50617 54439 59341 79541 104333 151851 163317 178023 238623 312999 415387 556787 652751 730331 1147663 1246161 1670361 1958253 2190993 2907709 3442989 4569257 5112317 5993441 8033641 8723127 13707771 15336951 17980323 24100923 31984799 41954087 56235487 61299253 65927851 95954397 125862261 168706461 183897759 197783553 293678609 429094771 461494957 674291783 881035827 1287284313 1384484871 2022875349 3003663397 3230464699 4720042481 6191224553 9010990191 9691394097 14160127443 18573673659 33040297367 43338571871 68103470083 99120892101 130015715613 204310410249 303370003097 476724290581 910110009291 1430172871743 3337070034067 10011210102201