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102202022122101 = 32117900431306693
BaseRepresentation
bin10111001111001111000011…
…001110010101001001110101
3111101212102021122102111210100
4113033033003032111021311
5101343434220130401401
61001210543310544313
730345565245304116
oct2717170316251165
9441772248374710
10102202022122101
112a6236a80a5450
12b56752a508099
1345047bc91ab25
141b3486615a20d
15bc3798503b86
hex5cf3c3395275

102202022122101 has 24 divisors (see below), whose sum is σ = 161045937707616. Its totient is φ = 61940493663840.

The previous prime is 102202022122099. The next prime is 102202022122139. The reversal of 102202022122101 is 101221220202201.

It is a happy number.

102202022122101 is a `hidden beast` number, since 1 + 0 + 220 + 2 + 0 + 221 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 102202022122101 - 21 = 102202022122099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202022122141) 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, 77560911 + ... + 78867603.

It is an arithmetic number, because the mean of its divisors is an integer number (6710247404484).

Almost surely, 2102202022122101 is an apocalyptic number.

102202022122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202022122101 is a deficient number, since it is larger than the sum of its proper divisors (58843915585515).

102202022122101 is a wasteful number, since it uses less digits than its factorization.

102202022122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2096753 (or 2096750 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202022122101 its reverse (101221220202201), we get a palindrome (203423242324302).

The spelling of 102202022122101 in words is "one hundred two trillion, two hundred two billion, twenty-two million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 9 11 33 99 790043 1306693 2370129 3920079 7110387 8690473 11760237 14373623 26071419 43120869 78214257 129362607 1032343657799 3097030973397 9291092920191 11355780235789 34067340707367 102202022122101