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121022200101 = 311192337226813
BaseRepresentation
bin111000010110101111…
…1000011100100100101
3102120101020121202102110
41300231133003210211
53440323140400401
6131332525431233
711513020504425
oct1605537034445
9376336552373
10121022200101
11473639711a0
121b55610b519
13b548bc81ba
145c00dd2485
153234abe9d6
hex1c2d7c3925

121022200101 has 64 divisors (see below), whose sum is σ = 198580193280. Its totient is φ = 64668637440.

The previous prime is 121022200007. The next prime is 121022200121. The reversal of 121022200101 is 101002220121.

It is not a de Polignac number, because 121022200101 - 221 = 121020102949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121022200121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420171 + ... + 646983.

It is an arithmetic number, because the mean of its divisors is an integer number (3102815520).

Almost surely, 2121022200101 is an apocalyptic number.

121022200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121022200101 is a deficient number, since it is larger than the sum of its proper divisors (77557993179).

121022200101 is a wasteful number, since it uses less digits than its factorization.

121022200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226906.

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

Adding to 121022200101 its reverse (101002220121), we get a palindrome (222024420222).

It can be divided in two parts, 121022 and 200101, that added together give a palindrome (321123).

The spelling of 121022200101 in words is "one hundred twenty-one billion, twenty-two million, two hundred thousand, one hundred one".

Divisors: 1 3 11 19 23 33 37 57 69 111 209 253 407 437 627 703 759 851 1221 1311 2109 2553 4807 7733 9361 14421 16169 23199 28083 48507 177859 226813 533577 680439 2494943 4309447 5216699 7484829 8392081 12928341 15650097 25176243 47403917 57383689 92312891 99117281 142211751 159449539 172151067 193017863 276938673 297351843 478348617 579053589 1090290091 1753944929 2123196493 3270870273 3667339397 5261834787 6369589479 11002018191 40340733367 121022200101