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120020101020001 = 713175929341910711
BaseRepresentation
bin11011010010100001011011…
…011111001011100101100001
3120201221210212012101122120201
4123102201123133023211201
5111212402131330120001
61103132250115305201
734165110663062050
oct3322413337134541
9521853765348521
10120020101020001
113527326a121036
1211564848bab201
1351c7b01a14450
14218d00a930397
15dd1ee91c8501
hex6d285b7cb961

120020101020001 has 128 divisors (see below), whose sum is σ = 159995940249600. Its totient is φ = 87343195484160.

The previous prime is 120020101019983. The next prime is 120020101020013. The reversal of 120020101020001 is 100020101020021.

It is not a de Polignac number, because 120020101020001 - 211 = 120020101017953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120020101020001.

It is not an unprimeable number, because it can be changed into a prime (120020101020031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11205307036 + ... + 11205317746.

It is an arithmetic number, because the mean of its divisors is an integer number (1249968283200).

Almost surely, 2120020101020001 is an apocalyptic number.

It is an amenable number.

120020101020001 is a deficient number, since it is larger than the sum of its proper divisors (39975839229599).

120020101020001 is a wasteful number, since it uses less digits than its factorization.

120020101020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11519.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120020101020001 its reverse (100020101020021), we get a palindrome (220040202040022).

The spelling of 120020101020001 in words is "one hundred twenty trillion, twenty billion, one hundred one million, twenty thousand, one".

Divisors: 1 7 13 17 59 91 119 221 293 413 419 767 1003 1547 2051 2933 3809 4981 5369 5447 7021 7123 10711 13039 17287 24721 26663 34867 38129 49861 64753 74977 91273 92599 121009 122767 139243 173047 182087 224731 293879 321373 420257 453271 631949 648193 859369 974701 1274609 1573117 1595971 2057153 2087039 2249611 2367131 2941799 3138323 3820427 4423643 4487909 5463341 7243253 8215337 10743133 11171797 14609273 16569917 21968261 26742989 27131507 31415363 38243387 40798199 50702771 53351491 57507359 58342817 75201931 76294453 94162289 123135301 139660729 185161057 189920549 264786631 285587393 373460437 408399719 534061171 659136023 693569383 861947107 977625103 991827889 1296127399 1314957337 1600758913 1853506417 2407093741 3147737969 3442226203 4501372727 4854985681 6942795223 9204701359 11205312391 16849656187 17094445381 22034165783 22354274729 24095583421 31509609089 40920593597 58517845451 77582482883 119661117667 156479923103 286444155179 290605571477 409624918157 543077380181 1008572277479 1318902209011 2034239000339 7060005942353 9232315463077 17145728717143 120020101020001