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20202102122121 = 3310344961326393
BaseRepresentation
bin1001001011111101010110…
…00111101110011010001001
32122112022011020021001121000
410211332223013232122021
510121442401120401441
6110544415000005213
74153360631511543
oct445765307563211
978468136231530
1020202102122121
116489732a86747
122323377160809
13b37085c8494a
144dbb035bc693
15250782b412b6
hex125fab1ee689

20202102122121 has 64 divisors (see below), whose sum is σ = 30337474752000. Its totient is φ = 13285393293312.

The previous prime is 20202102122119. The next prime is 20202102122123. The reversal of 20202102122121 is 12122120120202.

It is a happy number.

20202102122121 is a `hidden beast` number, since 202 + 0 + 210 + 212 + 21 + 21 = 666.

It is an interprime number because it is at equal distance from previous prime (20202102122119) and next prime (20202102122123).

It is not a de Polignac number, because 20202102122121 - 21 = 20202102122119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20202102122094 and 20202102122103.

It is not an unprimeable number, because it can be changed into a prime (20202102122123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765420901 + ... + 765447293.

It is an arithmetic number, because the mean of its divisors is an integer number (474023043000).

Almost surely, 220202102122121 is an apocalyptic number.

It is an amenable number.

20202102122121 is a deficient number, since it is larger than the sum of its proper divisors (10135372629879).

20202102122121 is a wasteful number, since it uses less digits than its factorization.

20202102122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27567 (or 27561 counting only the distinct ones).

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

Adding to 20202102122121 its reverse (12122120120202), we get a palindrome (32324222242323).

The spelling of 20202102122121 in words is "twenty trillion, two hundred two billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 103 309 449 613 927 1347 1839 2781 4041 5517 12123 16551 26393 46247 63139 79179 138741 189417 237537 275237 416223 568251 712611 825711 1248669 1704753 2477133 2718479 7431399 8155437 11850457 16178909 24466311 28349411 35551371 48536727 73398933 85048233 106654113 145610181 255144699 319962339 436830543 765434097 1220597071 1666427627 3661791213 4999282881 7264330141 10985373639 14997848643 21792990423 32956120917 44993545929 65378971269 196136913807 748226004523 2244678013569 6734034040707 20202102122121