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100101222011021 = 7114149516404303
BaseRepresentation
bin10110110000101010100001…
…110001111001000010001101
3111010102120202021101110111212
4112300222201301321002031
5101110024300313323041
6552521511101424205
730041034412062140
oct2660524161710215
9433376667343455
10100101222011021
1129993765212240
12b28835486b065
1343b1673b8571a
141aa0cd4292057
15b88ce0e418eb
hex5b0aa1c7908d

100101222011021 has 32 divisors (see below), whose sum is σ = 127871305261056. Its totient is φ = 76083107760000.

The previous prime is 100101222010961. The next prime is 100101222011029. The reversal of 100101222011021 is 120110222101001.

It is not a de Polignac number, because 100101222011021 - 214 = 100101221994637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101222010987 and 100101222011005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101222011029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12428156 + ... + 18832458.

It is an arithmetic number, because the mean of its divisors is an integer number (3995978289408).

Almost surely, 2100101222011021 is an apocalyptic number.

100101222011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101222011021 is a deficient number, since it is larger than the sum of its proper divisors (27770083250035).

100101222011021 is a wasteful number, since it uses less digits than its factorization.

100101222011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409313.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100101222011021 its reverse (120110222101001), we get a palindrome (220211444112022).

The spelling of 100101222011021 in words is "one hundred trillion, one hundred one billion, two hundred twenty-two million, eleven thousand, twenty-one".

Divisors: 1 7 11 41 77 287 451 3157 4951 34657 54461 202991 381227 1420937 2232901 6404303 15630307 44830121 70447333 262576423 493131331 1838034961 2888340653 20218384571 31707704153 221953929071 348784745683 1300015870273 2441493219781 9100111091911 14300174573003 100101222011021