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121020100112002 = 271322724111214963
BaseRepresentation
bin11011100001000100110000…
…000100111110111010000010
3120212111102000212002221112011
4123201010300010332322002
5111330243131112041002
61105215511054323134
734330261620106630
oct3341046004767202
9525442025087464
10121020100112002
1135619377586813
12116a660a7b94aa
13526b1b9a528c0
1421c5592bbc350
15ded0258108d7
hex6e113013ee82

121020100112002 has 64 divisors (see below), whose sum is σ = 224499220614144. Its totient is φ = 47645366610240.

The previous prime is 121020100111903. The next prime is 121020100112047. The reversal of 121020100112002 is 200211001020121.

It is a super-3 number, since 3×1210201001120023 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99000573 + ... + 100215535.

It is an arithmetic number, because the mean of its divisors is an integer number (3507800322096).

Almost surely, 2121020100112002 is an apocalyptic number.

121020100112002 is a deficient number, since it is larger than the sum of its proper divisors (103479120502142).

121020100112002 is a wasteful number, since it uses less digits than its factorization.

121020100112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217623.

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

Adding to 121020100112002 its reverse (200211001020121), we get a palindrome (321231101132123).

The spelling of 121020100112002 in words is "one hundred twenty-one trillion, twenty billion, one hundred million, one hundred twelve thousand, two".

Divisors: 1 2 7 13 14 26 91 182 227 454 1589 2411 2951 3178 4822 5902 16877 20657 31343 33754 41314 62686 219401 438802 547297 1094594 1214963 2429926 3831079 7114861 7662158 8504741 14229722 15794519 17009482 31589038 49804027 99608054 110561633 221123266 275796601 551593202 1930576207 2929275793 3585355813 3861152414 5858551586 7170711626 20504930551 25097490691 38080585309 41009861102 50194981382 76161170618 266564097163 533128194326 664945605011 1329891210022 4654619235077 8644292865143 9309238470154 17288585730286 60510050056001 121020100112002