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120201102021 = 3711133710110711
BaseRepresentation
bin110111111110010001…
…0110100001011000101
3102111021000120122121110
41233330202310023011
53432132440231041
6131115234435233
711453460336450
oct1577442641305
9374230518543
10120201102021
1146a82430040
121b367132b19
13b447a69150
145b63d34497
1531d797b516
hex1bfc8b42c5

120201102021 has 128 divisors (see below), whose sum is σ = 223209971712. Its totient is φ = 55520640000.

The previous prime is 120201102011. The next prime is 120201102053.

120201102021 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 120201102021 - 210 = 120201100997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120201101988 and 120201102006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201102001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11216856 + ... + 11227566.

It is an arithmetic number, because the mean of its divisors is an integer number (1743827904).

Almost surely, 2120201102021 is an apocalyptic number.

120201102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120201102021 is a deficient number, since it is larger than the sum of its proper divisors (103008869691).

120201102021 is a wasteful number, since it uses less digits than its factorization.

120201102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10883.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 120201 and 102021, that added together give a palindrome (222222).

The spelling of 120201102021 in words is "one hundred twenty billion, two hundred one million, one hundred two thousand, twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 101 111 143 231 259 273 303 407 429 481 707 777 1001 1111 1221 1313 1443 2121 2849 3003 3333 3367 3737 3939 5291 7777 8547 9191 10101 10711 11211 14443 15873 23331 26159 27573 32133 37037 41107 43329 48581 74977 78477 101101 111111 117821 123321 139243 145743 224931 287749 303303 340067 353463 396307 417729 534391 824747 863247 974701 1020201 1081811 1188921 1531673 1603173 2474241 2774149 2924103 3245433 3740737 4359377 4595019 5151991 7572677 8322447 10721711 11222211 11899921 13078131 14063543 15455973 22718031 30515639 32165133 35699763 36063937 40027007 42190629 56671901 83299447 91546917 98444801 108191811 120081021 154698973 170015703 249898341 280189049 295334403 396703307 440297077 464096919 520351091 840567147 1082892811 1190109921 1320891231 1561053273 3082079539 3248678433 3642457637 5723862001 9246238617 10927372911 17171586003 40067034007 120201102021