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101201221201221 = 3310137110825523
BaseRepresentation
bin10111000000101010111110…
…110101110010110101000101
3111021022202001002221002102000
4113000222332311302311011
5101231040100111414341
6555123111005535513
730213355413654561
oct2700527665626505
9437282032832360
10101201221201221
112a27821906a879
12b425584274599
13446130773920b
141adc2455c86a1
15ba77217d28b6
hex5c0abed72d45

101201221201221 has 16 divisors (see below), whose sum is σ = 151412168137920. Its totient is φ = 66799485939600.

The previous prime is 101201221201207. The next prime is 101201221201247. The reversal of 101201221201221 is 122102122102101.

101201221201221 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 1 + 221 + 201 + 221 = 666.

It is not a de Polignac number, because 101201221201221 - 211 = 101201221199173 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101201221201194 and 101201221201203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201221201271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18555410035 + ... + 18555415488.

It is an arithmetic number, because the mean of its divisors is an integer number (9463260508620).

Almost surely, 2101201221201221 is an apocalyptic number.

It is an amenable number.

101201221201221 is a deficient number, since it is larger than the sum of its proper divisors (50210946936699).

101201221201221 is a wasteful number, since it uses less digits than its factorization.

101201221201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37110825633 (or 37110825627 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101201221201221 its reverse (122102122102101), we get a palindrome (223303343303322).

The spelling of 101201221201221 in words is "one hundred one trillion, two hundred one billion, two hundred twenty-one million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 3 9 27 101 303 909 2727 37110825523 111332476569 333997429707 1001992289121 3748193377823 11244580133469 33733740400407 101201221201221