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121122222010101 = 32131397607979061
BaseRepresentation
bin11011100010100011110111…
…000001000110111011110101
3120212212011121220110212202100
4123202203313001012323311
5111333431302313310401
61105334440341132313
734340535400655154
oct3342436701067365
9525764556425670
10121122222010101
1135658711747304
121170236b0ba099
135277a13049540
1421ca4bd98959b
15e00a00e8ab86
hex6e28f7046ef5

121122222010101 has 48 divisors (see below), whose sum is σ = 189792970174080. Its totient is φ = 73990712856960.

The previous prime is 121122222010079. The next prime is 121122222010183. The reversal of 121122222010101 is 101010222221121.

121122222010101 is a `hidden beast` number, since 1 + 211 + 222 + 220 + 1 + 0 + 10 + 1 = 666.

It is not a de Polignac number, because 121122222010101 - 215 = 121122221977333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122222010901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123223111 + ... + 124202171.

It is an arithmetic number, because the mean of its divisors is an integer number (3954020211960).

Almost surely, 2121122222010101 is an apocalyptic number.

It is an amenable number.

121122222010101 is a deficient number, since it is larger than the sum of its proper divisors (68670748163979).

121122222010101 is a wasteful number, since it uses less digits than its factorization.

121122222010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986826 (or 986823 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121122222010101 its reverse (101010222221121), we get a palindrome (222132444231222).

The spelling of 121122222010101 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty-two million, ten thousand, one hundred one".

Divisors: 1 3 9 13 39 117 139 417 1251 1807 5421 7607 16263 22821 68463 98891 296673 890019 979061 1057373 2937183 3172119 8811549 9516357 12727793 13745849 38183379 41237547 114550137 123712641 136089479 408268437 1224805311 1769163227 5307489681 7447717027 15922469043 22343151081 67029453243 96820321351 290460964053 871382892159 1035232666753 3105698000259 9317094000777 13458024667789 40374074003367 121122222010101