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121121220200101 = 1163378963193861
BaseRepresentation
bin11011100010100010111011…
…010011100000011010100101
3120212212002001002101122210021
4123202202323103200122211
5111333422224332400401
61105334153112555141
734340501514505252
oct3342427323403245
9525762032348707
10121121220200101
11356582481a7660
121170212b6b2ab1
1352778b3627564
1421ca4268ca429
15e0099304d2a1
hex6e28bb4e06a5

121121220200101 has 16 divisors (see below), whose sum is σ = 132168517190208. Its totient is φ = 110079973555200.

The previous prime is 121121220200047. The next prime is 121121220200131. The reversal of 121121220200101 is 101002022121121.

It is a de Polignac number, because none of the positive numbers 2k-121121220200101 is a prime.

It is a super-2 number, since 2×1211212202001012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121220200131) 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 15 ways as a sum of consecutive naturals, for example, 624686911 + ... + 624880771.

It is an arithmetic number, because the mean of its divisors is an integer number (8260532324388).

Almost surely, 2121121220200101 is an apocalyptic number.

121121220200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121121220200101 is a deficient number, since it is larger than the sum of its proper divisors (11047296990107).

121121220200101 is a wasteful number, since it uses less digits than its factorization.

121121220200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209172.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121121220200101 its reverse (101002022121121), we get a palindrome (222123242321222).

The spelling of 121121220200101 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, two hundred twenty million, two hundred thousand, one hundred one".

Divisors: 1 11 6337 8963 69707 98593 193861 2132471 56798531 624783841 1228497157 1737576143 13513468727 19113337573 11011020018191 121121220200101