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2122022122101 = 32745827735001
BaseRepresentation
bin11110111000010010010…
…111111111001001110101
321111212022100222220111200
4132320102113333021311
5234231400130401401
64302502110323113
7306211454300130
oct36702227771165
97455270886450
102122022122101
11748a431921a2
122a3318ab9499
1312514b67009b
14749c65ad217
153a2ea765686
hex1ee125ff275

2122022122101 has 24 divisors (see below), whose sum is σ = 3503101852224. Its totient is φ = 1212555960000.

The previous prime is 2122022122069. The next prime is 2122022122117. The reversal of 2122022122101 is 1012212202212.

It is a happy number.

2122022122101 is a `hidden beast` number, since 2 + 1 + 220 + 221 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 2122022122101 - 25 = 2122022122069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122022122601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2519601 + ... + 3254601.

It is an arithmetic number, because the mean of its divisors is an integer number (145962577176).

Almost surely, 22122022122101 is an apocalyptic number.

2122022122101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2122022122101 is a deficient number, since it is larger than the sum of its proper divisors (1381079730123).

2122022122101 is a wasteful number, since it uses less digits than its factorization.

2122022122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780841 (or 780838 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2122022122101 its reverse (1012212202212), we get a palindrome (3134234324313).

The spelling of 2122022122101 in words is "two trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 63 45827 137481 320789 412443 735001 962367 2205003 2887101 5145007 6615009 15435021 46305063 33682890827 101048672481 235780235789 303146017443 707340707367 2122022122101