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101221012201011 = 3235356963437669
BaseRepresentation
bin10111000000111101011010…
…011110011101111000110011
3111021101122010101012001021020
4113000331122132131320303
5101231401113110413021
6555140142511430523
730214656020460453
oct2700753236357063
9437348111161236
10101221012201011
112a28565461994a
12b429388225443
13446313ca28091
141add1a1c27d63
15ba7ece0177c6
hex5c0f5a79de33

101221012201011 has 64 divisors (see below), whose sum is σ = 143779969382400. Its totient is φ = 63199362530304.

The previous prime is 101221012200961. The next prime is 101221012201013. The reversal of 101221012201011 is 110102210122101.

It is a happy number.

It is not a de Polignac number, because 101221012201011 - 211 = 101221012198963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101221012201013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13198719885 + ... + 13198727553.

It is an arithmetic number, because the mean of its divisors is an integer number (2246562021600).

Almost surely, 2101221012201011 is an apocalyptic number.

101221012201011 is a deficient number, since it is larger than the sum of its proper divisors (42558957181389).

101221012201011 is a wasteful number, since it uses less digits than its factorization.

101221012201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14660.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221012201011 its reverse (110102210122101), we get a palindrome (211323222323112).

The spelling of 101221012201011 in words is "one hundred one trillion, two hundred twenty-one billion, twelve million, two hundred one thousand, eleven".

Divisors: 1 3 23 53 69 159 569 1219 1707 3657 6343 7669 13087 19029 23007 30157 39261 90471 145889 176387 336179 406457 437667 529161 693611 1008537 1219371 2080833 3609167 4363661 7732117 9348511 10827501 13090983 23196351 28045533 48644467 83010841 100364203 145933401 191285851 231274033 249032523 301092609 573857553 693822099 1118822741 2578156751 3356468223 4399574573 5319302759 7734470253 13198723719 15957908277 27678701723 59297605273 83036105169 177892815819 636610139629 1466971191319 1909830418887 4400913573957 33740337400337 101221012201011