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101211111021201 = 31731210719299713
BaseRepresentation
bin10111000000110100001100…
…010100011101101010010001
3111021100200120100100222221220
4113000310030110131222101
5101231220323410134301
6555131424215035253
730214155453025146
oct2700641424355221
9437320510328856
10101211111021201
112a28143366aa15
12b42748436bb29
13446222265a3bc
141adc902c6a3cd
15ba7aeeb79936
hex5c0d0c51da91

101211111021201 has 48 divisors (see below), whose sum is σ = 149024054031552. Its totient is φ = 60882099486720.

The previous prime is 101211111021187. The next prime is 101211111021247. The reversal of 101211111021201 is 102120111112101.

It is not a de Polignac number, because 101211111021201 - 210 = 101211111020177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101211111025201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4405680 + ... + 14894033.

It is an arithmetic number, because the mean of its divisors is an integer number (3104667792324).

Almost surely, 2101211111021201 is an apocalyptic number.

It is an amenable number.

101211111021201 is a deficient number, since it is larger than the sum of its proper divisors (47812943010351).

101211111021201 is a wasteful number, since it uses less digits than its factorization.

101211111021201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19299902 (or 19299871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101211111021201 its reverse (102120111112101), we get a palindrome (203331222133302).

The spelling of 101211111021201 in words is "one hundred one trillion, two hundred eleven billion, one hundred eleven million, twenty-one thousand, two hundred one".

Divisors: 1 3 17 31 51 93 107 321 527 961 1581 1819 2883 3317 5457 9951 16337 49011 56389 102827 169167 308481 1748059 5244177 19299713 57899139 328095121 598291103 984285363 1794873309 2065069291 6195207873 10170948751 18547024193 30512846253 35106177947 55641072579 64017148021 105318533841 192051444063 315299411281 945898233843 1088291516357 1984531588651 3264874549071 5953594765953 33737037007067 101211111021201