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100122201211221 = 3276408124800507
BaseRepresentation
bin10110110000111110000100…
…001111001100000101010101
3111010111120220100110020220200
4112300332010033030011111
5101110400232002224341
6552535300530451113
730042406324250130
oct2660760417140525
9433446810406820
10100122201211221
11299a1650448922
12b29042a733a99
1343b3638397057
141aa1d2462d217
15b8961cb30db6
hex5b0f843cc155

100122201211221 has 24 divisors (see below), whose sum is σ = 165283679980224. Its totient is φ = 57211791281280.

The previous prime is 100122201211181. The next prime is 100122201211237. The reversal of 100122201211221 is 122112102221001.

100122201211221 is a `hidden beast` number, since 1 + 0 + 0 + 12 + 220 + 1 + 211 + 221 = 666.

It is not a de Polignac number, because 100122201211221 - 210 = 100122201210197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122201211194 and 100122201211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122201201221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8363151 + ... + 16437356.

It is an arithmetic number, because the mean of its divisors is an integer number (6886819999176).

Almost surely, 2100122201211221 is an apocalyptic number.

It is an amenable number.

100122201211221 is a deficient number, since it is larger than the sum of its proper divisors (65161478769003).

100122201211221 is a wasteful number, since it uses less digits than its factorization.

100122201211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24864601 (or 24864598 counting only the distinct ones).

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

Adding to 100122201211221 its reverse (122112102221001), we get a palindrome (222234303432222).

The spelling of 100122201211221 in words is "one hundred trillion, one hundred twenty-two billion, two hundred one million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 64081 192243 448567 576729 1345701 4037103 24800507 74401521 173603549 223204563 520810647 1562431941 1589241289067 4767723867201 11124689023469 14303171601603 33374067070407 100122201211221