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221201011010001 = 311371019911809991
BaseRepresentation
bin110010010010111001011111…
…101011110110100111010001
31002000012121110210012022012110
4302102321133223312213101
5212443124132304310001
62102242201441415533
764410150155440461
oct6222713753664721
91060177423168173
10221201011010001
1164532905020230
12209862a303a5a9
139657220450c89
143c8a286781ba1
151a88e2c7693d6
hexc92e5faf69d1

221201011010001 has 64 divisors (see below), whose sum is σ = 334051428483072. Its totient is φ = 129016087200000.

The previous prime is 221201011009999. The next prime is 221201011010029. The reversal of 221201011010001 is 100010110102122.

It is not a de Polignac number, because 221201011010001 - 21 = 221201011009999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221201011012001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 121306116 + ... + 123116106.

It is an arithmetic number, because the mean of its divisors is an integer number (5219553570048).

Almost surely, 2221201011010001 is an apocalyptic number.

It is an amenable number.

221201011010001 is a deficient number, since it is larger than the sum of its proper divisors (112850417473071).

221201011010001 is a wasteful number, since it uses less digits than its factorization.

221201011010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811134.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 221201011010001 its reverse (100010110102122), we get a palindrome (321211121112123).

The spelling of 221201011010001 in words is "two hundred twenty-one trillion, two hundred one billion, eleven million, ten thousand, one".

Divisors: 1 3 11 33 37 101 111 303 407 991 1111 1221 2973 3333 3737 10901 11211 32703 36667 41107 100091 110001 123321 300273 403337 1101001 1210011 1809991 3303003 3703367 5429973 11110101 19909901 40737037 59729703 66969667 122211111 182809091 200909001 548427273 736666337 1793701081 2010900001 2209999011 5381103243 6032700003 6763936367 19730711891 20291809101 59192135673 66366939997 74403300037 181163809181 199100819991 223209900111 543491427543 730036339967 1992801900991 2190109019901 5978405702973 6703060939697 20109182819091 73733670336667 221201011010001