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1012122010101 = 31923291012291151
BaseRepresentation
bin11101011101001110010…
…11000100000111110101
310120202110112010100020010
432232213023010013311
5113040311213310401
62052543515130433
7133060220065236
oct16564713040765
93522415110203
101012122010101
11360269541564
121441a5743a19
137459a7ac197
1436db634508d
151b4daa87ed6
hexeba72c41f5

1012122010101 has 128 divisors (see below), whose sum is σ = 1556692992000. Its totient is φ = 581454720000.

The previous prime is 1012122010087. The next prime is 1012122010157. The reversal of 1012122010101 is 1010102212101.

It is not a de Polignac number, because 1012122010101 - 217 = 1012121879029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012122010171) 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, 879340876 + ... + 879342026.

It is an arithmetic number, because the mean of its divisors is an integer number (12161664000).

Almost surely, 21012122010101 is an apocalyptic number.

It is an amenable number.

1012122010101 is a deficient number, since it is larger than the sum of its proper divisors (544570981899).

1012122010101 is a wasteful number, since it uses less digits than its factorization.

1012122010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012122010101 its reverse (1010102212101), we get a palindrome (2022224222202).

The spelling of 1012122010101 in words is "one trillion, twelve billion, one hundred twenty-two million, ten thousand, one hundred one".

Divisors: 1 3 19 23 29 57 69 87 101 229 303 437 551 667 687 1151 1311 1653 1919 2001 2323 2929 3453 4351 5267 5757 6641 6969 8787 12673 13053 15801 19923 21869 23129 26473 33379 38019 44137 55651 65607 67367 69387 79419 100073 100137 116251 126179 132411 152743 166953 202101 263579 300219 348753 378537 439451 458229 502987 531967 634201 670741 767717 790737 1279973 1318353 1508961 1595901 1902603 2012223 2208769 2303151 2673773 2902117 3371279 3839919 5008001 6062317 6626307 7643791 8021319 8706351 10107373 10113837 12744079 14586623 15024003 15427043 18186951 22931373 26621479 30322119 38232237 43759869 46281129 50801687 64054301 77539417 79864437 115184023 145232029 152405061 175807193 192162903 232618251 293113817 345552069 435696087 505808101 527421579 612294017 772022891 879341451 1473248923 1517424303 1836882051 2316068673 3340336667 4419746769 10021010001 11633586323 14668434929 17756526493 34900758969 44005304787 53269579479 337374003367 1012122010101