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212102222202101 = 711101105449258637
BaseRepresentation
bin110000001110011111100101…
…100111000100010011110101
31000210222202220112211001211002
4300032133211213010103311
5210300040322340431401
62031034225444053045
762450610535605050
oct6016374547042365
91023882815731732
10212102222202101
1161645057a37610
121b9569b9094185
1391471cc99438a
143a53b3383da97
15197c3eb34ea6b
hexc0e7e59c44f5

212102222202101 has 32 divisors (see below), whose sum is σ = 267060908563200. Its totient is φ = 163635893568000.

The previous prime is 212102222202097. The next prime is 212102222202107. The reversal of 212102222202101 is 101202222201212.

It is not a de Polignac number, because 212102222202101 - 22 = 212102222202097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102222202107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819947555 + ... + 820206191.

It is an arithmetic number, because the mean of its divisors is an integer number (8345653392600).

Almost surely, 2212102222202101 is an apocalyptic number.

It is an amenable number.

212102222202101 is a deficient number, since it is larger than the sum of its proper divisors (54958686361099).

212102222202101 is a wasteful number, since it uses less digits than its factorization.

212102222202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364205.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 212102222202101 its reverse (101202222201212), we get a palindrome (313304444403313).

The spelling of 212102222202101 in words is "two hundred twelve trillion, one hundred two billion, two hundred twenty-two million, two hundred two thousand, one hundred one".

Divisors: 1 7 11 77 101 707 1111 7777 105449 258637 738143 1159939 1810459 2845007 8119573 10650349 19915049 26122337 74552443 117153839 182856359 287345707 820076873 2011419949 27273013013 190911091091 300003143143 2100022002001 2754574314313 19282020200191 30300317457443 212102222202101