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12122110122101 = 79771772497459
BaseRepresentation
bin1011000001100110011000…
…0100010101100001110101
31120220212021200211000122022
42300121212010111201311
53042102040142401401
641440453121442525
72360536121640260
oct260314604254165
946825250730568
1012122110122101
113953a5a160991
12143941a1a0445
1369c157aca0c5
142dc9db287cd7
151604cd28c71b
hexb0666115875

12122110122101 has 8 divisors (see below), whose sum is σ = 13868020127040. Its totient is φ = 10379745114048.

The previous prime is 12122110122097. The next prime is 12122110122113. The reversal of 12122110122101 is 10122101122121.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12122110122101 - 22 = 12122110122097 is a prime.

It is a super-2 number, since 2×121221101221012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12122110122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122110122181) 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 7 ways as a sum of consecutive naturals, for example, 886241891 + ... + 886255568.

It is an arithmetic number, because the mean of its divisors is an integer number (1733502515880).

Almost surely, 212122110122101 is an apocalyptic number.

It is an amenable number.

12122110122101 is a deficient number, since it is larger than the sum of its proper divisors (1745910004939).

12122110122101 is an equidigital number, since it uses as much as digits as its factorization.

12122110122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772498443.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 12122110122101 its reverse (10122101122121), we get a palindrome (22244211244222).

The spelling of 12122110122101 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 7 977 6839 1772497459 12407482213 1731730017443 12122110122101