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1012110120021 = 3711131723861977
BaseRepresentation
bin11101011101001100111…
…01101101010001010101
310120202102200202021002210
432232212131231101111
5113040300142320041
62052542412224033
7133060014034260
oct16564635552125
93522380667083
101012110120021
11360262860350
121441a176b019
13745981a8230
1436db492bcd7
151b4d99da016
hexeba676d455

1012110120021 has 128 divisors (see below), whose sum is σ = 2001885290496. Its totient is φ = 436918394880.

The previous prime is 1012110120001. The next prime is 1012110120071. The reversal of 1012110120021 is 1200210112101.

It is not a de Polignac number, because 1012110120021 - 217 = 1012109988949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012110119979 and 1012110120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012110120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 743185 + ... + 1605161.

It is an arithmetic number, because the mean of its divisors is an integer number (15639728832).

Almost surely, 21012110120021 is an apocalyptic number.

1012110120021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012110120021 is a deficient number, since it is larger than the sum of its proper divisors (989775170475).

1012110120021 is a wasteful number, since it uses less digits than its factorization.

1012110120021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862051.

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

Adding to 1012110120021 its reverse (1200210112101), we get a palindrome (2212320232122).

The spelling of 1012110120021 in words is "one trillion, twelve billion, one hundred ten million, one hundred twenty thousand, twenty-one".

Divisors: 1 3 7 11 13 17 21 23 33 39 51 69 77 91 119 143 161 187 221 231 253 273 299 357 391 429 483 561 663 759 897 1001 1173 1309 1547 1771 2093 2431 2737 3003 3289 3927 4301 4641 5083 5313 6279 7293 8211 9867 12903 15249 17017 23023 30107 35581 51051 55913 69069 90321 106743 167739 391391 861977 1174173 2585931 6033839 9481747 11205701 14653609 18101517 19825471 28445241 33617103 43960827 59476413 66372229 78439907 102575263 123262711 138778297 161189699 190496917 199116687 218080181 235319721 257731123 307725789 337033007 369788133 416334891 483569097 571490751 654240543 773193369 862838977 1011099021 1128327893 1333478419 1526561267 1804117861 2095466087 2359231049 2588516931 2835042353 3384983679 3707363077 4000435257 4381429091 4579683801 5412353583 6286398261 7077693147 8505127059 11122089231 13144287273 14668262609 19845296471 25951541539 30670003637 44004787827 48195720001 59535889413 77854624617 92010010911 144587160003 337370040007 1012110120021