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211121210100201 = 326312591601132751
BaseRepresentation
bin110000000000001101111100…
…101110111000100111101001
31000200111222202010110210210020
4300000031330232320213221
5210133002214241201301
62025003424530111053
762320001253406362
oct6000157456704751
91020458663423706
10211121210100201
11612a7003201595
121b81885611b489
1390a584c4b9acb
143a1c46d100b69
151961b31a82436
hexc0037cbb89e9

211121210100201 has 32 divisors (see below), whose sum is σ = 282968470794240. Its totient is φ = 140012380800000.

The previous prime is 211121210100083. The next prime is 211121210100217. The reversal of 211121210100201 is 102001012121112.

It is a happy number.

It is not a de Polignac number, because 211121210100201 - 242 = 206723163589097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121210100001) 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, 1590288576 + ... + 1590421326.

It is an arithmetic number, because the mean of its divisors is an integer number (8842764712320).

Almost surely, 2211121210100201 is an apocalyptic number.

It is an amenable number.

211121210100201 is a deficient number, since it is larger than the sum of its proper divisors (71847260694039).

211121210100201 is a wasteful number, since it uses less digits than its factorization.

211121210100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135877.

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

Adding to 211121210100201 its reverse (102001012121112), we get a palindrome (313122222221313).

The spelling of 211121210100201 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred ten million, one hundred thousand, two hundred one".

Divisors: 1 3 263 789 1259 1601 3777 4803 132751 331117 398253 421063 993351 1263189 2015659 6046977 34913513 104740539 167133509 212534351 501400527 530118317 637603053 1590354951 43956112867 55896534313 131868338601 167689602939 267580747909 802742243727 70373736700067 211121210100201