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212100221102011 = 1159618116606109
BaseRepresentation
bin110000001110011101101110…
…010101011110011110111011
31000210222120202002101122112221
4300032131232111132132323
5210300022223100231021
62031033255121344511
762450510126542024
oct6016355625363673
91023876662348487
10212100221102011
1161644220409490
121b95653aa98137
139146c71223398
143a539c3b79c4b
15197c330821241
hexc0e76e55e7bb

212100221102011 has 32 divisors (see below), whose sum is σ = 239456161324800. Its totient is φ = 186212972304000.

The previous prime is 212100221101987. The next prime is 212100221102051. The reversal of 212100221102011 is 110201122001212.

It is a cyclic number.

It is not a de Polignac number, because 212100221102011 - 219 = 212100220577723 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212100221102051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28803625 + ... + 35409733.

It is an arithmetic number, because the mean of its divisors is an integer number (7483005041400).

Almost surely, 2212100221102011 is an apocalyptic number.

212100221102011 is a deficient number, since it is larger than the sum of its proper divisors (27355940222789).

212100221102011 is a wasteful number, since it uses less digits than its factorization.

212100221102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6607051.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 212100221102011 its reverse (110201122001212), we get a palindrome (322301343103223).

The spelling of 212100221102011 in words is "two hundred twelve trillion, one hundred billion, two hundred twenty-one million, one hundred two thousand, eleven".

Divisors: 1 11 59 61 649 671 811 3599 8921 39589 47849 49471 526339 544181 2918789 6606109 32106679 72667199 389760431 402972649 4287364741 4432699139 5357554399 23775386291 58933098389 261529249201 316095709541 326810818339 3477052804951 3594919001729 19281838282001 212100221102011