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121020110012001 = 31272232715256037
BaseRepresentation
bin11011100001000100110000…
…101010101111111001100001
3120212111102001112201220202210
4123201010300222233321201
5111330243141130341001
61105215512050432333
734330262100211614
oct3341046052577141
9525442045656683
10121020110012001
1135619382128832
12116a6611b926a9
13526b1bbb0aaa5
1421c559423817b
15ded026618dd6
hex6e1130aafe61

121020110012001 has 32 divisors (see below), whose sum is σ = 163962820231168. Its totient is φ = 79391793055680.

The previous prime is 121020110011991. The next prime is 121020110012069. The reversal of 121020110012001 is 100210011020121.

It is not a de Polignac number, because 121020110012001 - 27 = 121020110011873 is a prime.

It is a super-3 number, since 3×1210201100120013 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121020110011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20396955 + ... + 25652991.

It is an arithmetic number, because the mean of its divisors is an integer number (5123838132224).

Almost surely, 2121020110012001 is an apocalyptic number.

It is an amenable number.

121020110012001 is a deficient number, since it is larger than the sum of its proper divisors (42942710219167).

121020110012001 is a wasteful number, since it uses less digits than its factorization.

121020110012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256661.

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

Adding to 121020110012001 its reverse (100210011020121), we get a palindrome (221230121032122).

The spelling of 121020110012001 in words is "one hundred twenty-one trillion, twenty billion, one hundred ten million, twelve thousand, one".

Divisors: 1 3 127 223 271 381 669 813 28321 34417 60433 84963 103251 181299 5256037 7674991 15768111 23024973 667516699 1172096251 1424386027 2002550097 3516288753 4273158081 148856223877 180897025429 317638084021 446568671631 542691076287 952914252063 40340036670667 121020110012001