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212100011101121 = 111310720011692711
BaseRepresentation
bin110000001110011101100001…
…110100011000101111000001
31000210222120012110020111111012
4300032131201310120233001
5210300021310320213441
62031033222220330305
762450501666552363
oct6016354164305701
91023876173214435
10212100011101121
1161644122915730
121b9564a06a3995
139146c39876cc0
143a539a3d12d33
15197c31c18d9eb
hexc0e761d18bc1

212100011101121 has 32 divisors (see below), whose sum is σ = 251522153358336. Its totient is φ = 176313536712000.

The previous prime is 212100011101109. The next prime is 212100011101123. The reversal of 212100011101121 is 121101110001212.

It is a cyclic number.

It is not a de Polignac number, because 212100011101121 - 210 = 212100011100097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212100011101096 and 212100011101105.

It is not an unprimeable number, because it can be changed into a prime (212100011101123) 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, 305841956 + ... + 306534666.

It is an arithmetic number, because the mean of its divisors is an integer number (7860067292448).

Almost surely, 2212100011101121 is an apocalyptic number.

It is an amenable number.

212100011101121 is a deficient number, since it is larger than the sum of its proper divisors (39422142257215).

212100011101121 is a wasteful number, since it uses less digits than its factorization.

212100011101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712853.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 212100011101121 its reverse (121101110001212), we get a palindrome (333201121102333).

The spelling of 212100011101121 in words is "two hundred twelve trillion, one hundred billion, eleven million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 11 13 107 143 1177 1391 15301 20011 220121 260143 692711 2141177 2861573 7619821 9005243 23552947 27835301 74120077 99057673 306188311 815320847 963561001 10599171011 13861839821 152480238031 180203917673 1483216860847 1982243094403 16315385469317 19281819191011 212100011101121