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20122102122101 = 7214915119195561
BaseRepresentation
bin1001001001101000010101…
…01111111100011001110101
32122020122122220010222120022
410210310022233330121311
510114140031120401401
6110443544402214525
74144526306650100
oct444641257743165
978218586128508
1020122102122101
11645881007a651
12230b96b354445
13b2c676b4cb25
144d7cb4843737
1524d64e67271b
hex124d0abfc675

20122102122101 has 48 divisors (see below), whose sum is σ = 23844936038400. Its totient is φ = 16929027360000.

The previous prime is 20122102121963. The next prime is 20122102122103. The reversal of 20122102122101 is 10122120122102.

It is not a de Polignac number, because 20122102122101 - 222 = 20122097927797 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 20122102122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122102122103) 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, 210520361 + ... + 210615921.

It is an arithmetic number, because the mean of its divisors is an integer number (496769500800).

Almost surely, 220122102122101 is an apocalyptic number.

It is an amenable number.

20122102122101 is a deficient number, since it is larger than the sum of its proper divisors (3722833916299).

20122102122101 is a wasteful number, since it uses less digits than its factorization.

20122102122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96066 (or 96059 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20122102122101 its reverse (10122120122102), we get a palindrome (30244222244203).

The spelling of 20122102122101 in words is "twenty trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 7 49 149 151 191 1043 1057 1337 7301 7399 9359 22499 28459 28841 95561 157493 199213 201887 668927 1102451 1394491 1413209 4297309 4682489 14238589 14429711 18252151 30081163 99670123 101007977 127765057 210568141 697690861 707055839 894355399 2150026939 2719570499 2756074801 15050188573 19036993493 19292523607 105351320011 133258954451 135047665249 410655145349 2874586017443 20122102122101